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Finding the Third Proportional to 272,481 and 425,278.50

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Solution

The third proportional to 272,481 and 425,278.50 is: 663,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,481 : 425,278.50 = 425,278.50 : x
  2. Step 2: Convert to fraction form
    272,481/425,278.50 = 425,278.50/x
  3. Step 3: Cross multiply
    272,481x = 425,278.50 × 425,278.50
  4. Step 4: Simplify right side
    272,481x = 180,861,802,562.25
  5. Step 5: Solve for x
    x = 180,861,802,562.25/272,481
  6. Step 6: Final answer
    x = 663,759.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.