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Finding the Third Proportional to 438,432 and 657,720

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Solution

The third proportional to 438,432 and 657,720 is: 986,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,432 : 657,720 = 657,720 : x
  2. Step 2: Convert to fraction form
    438,432/657,720 = 657,720/x
  3. Step 3: Cross multiply
    438,432x = 657,720 × 657,720
  4. Step 4: Simplify right side
    438,432x = 432,595,598,400
  5. Step 5: Solve for x
    x = 432,595,598,400/438,432
  6. Step 6: Final answer
    x = 986,688.01

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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.