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Finding the Third Proportional to 256,551.75 and 402,451.88

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Solution

The third proportional to 256,551.75 and 402,451.88 is: 631,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,551.75 : 402,451.88 = 402,451.88 : x
  2. Step 2: Convert to fraction form
    256,551.75/402,451.88 = 402,451.88/x
  3. Step 3: Cross multiply
    256,551.75x = 402,451.88 × 402,451.88
  4. Step 4: Simplify right side
    256,551.75x = 161,967,511,691.02
  5. Step 5: Solve for x
    x = 161,967,511,691.02/256,551.75
  6. Step 6: Final answer
    x = 631,324.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.