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Finding the Third Proportional to 438,453 and 642,127.50

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Solution

The third proportional to 438,453 and 642,127.50 is: 940,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,453 : 642,127.50 = 642,127.50 : x
  2. Step 2: Convert to fraction form
    438,453/642,127.50 = 642,127.50/x
  3. Step 3: Cross multiply
    438,453x = 642,127.50 × 642,127.50
  4. Step 4: Simplify right side
    438,453x = 412,327,726,256.25
  5. Step 5: Solve for x
    x = 412,327,726,256.25/438,453
  6. Step 6: Final answer
    x = 940,414.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.