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Finding the Third Proportional to 555,064.31 and 830,337.75

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Solution

The third proportional to 555,064.31 and 830,337.75 is: 1,242,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,064.31 : 830,337.75 = 830,337.75 : x
  2. Step 2: Convert to fraction form
    555,064.31/830,337.75 = 830,337.75/x
  3. Step 3: Cross multiply
    555,064.31x = 830,337.75 × 830,337.75
  4. Step 4: Simplify right side
    555,064.31x = 689,460,779,075.06
  5. Step 5: Solve for x
    x = 689,460,779,075.06/555,064.31
  6. Step 6: Final answer
    x = 1,242,127.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.