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Finding the Third Proportional to 804,290,220,692 and 1,199,460,620,190

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Solution

The third proportional to 804,290,220,692 and 1,199,460,620,190 is: 1,788,789,347,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,290,220,692 : 1,199,460,620,190 = 1,199,460,620,190 : x
  2. Step 2: Convert to fraction form
    804,290,220,692/1,199,460,620,190 = 1,199,460,620,190/x
  3. Step 3: Cross multiply
    804,290,220,692x = 1,199,460,620,190 × 1,199,460,620,190
  4. Step 4: Simplify right side
    804,290,220,692x = 1,438,705,779,386,579,383,484,416
  5. Step 5: Solve for x
    x = 1,438,705,779,386,579,383,484,416/804,290,220,692
  6. Step 6: Final answer
    x = 1,788,789,347,890.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.