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Finding the Third Proportional to 78,446,158.50 and 171,017,042.25

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Solution

The third proportional to 78,446,158.50 and 171,017,042.25 is: 372,826,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,446,158.50 : 171,017,042.25 = 171,017,042.25 : x
  2. Step 2: Convert to fraction form
    78,446,158.50/171,017,042.25 = 171,017,042.25/x
  3. Step 3: Cross multiply
    78,446,158.50x = 171,017,042.25 × 171,017,042.25
  4. Step 4: Simplify right side
    78,446,158.50x = 29,246,828,739,938,284
  5. Step 5: Solve for x
    x = 29,246,828,739,938,284/78,446,158.50
  6. Step 6: Final answer
    x = 372,826,780.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.