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Finding the Third Proportional to 275,499 and 425,716

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Solution

The third proportional to 275,499 and 425,716 is: 657,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,499 : 425,716 = 425,716 : x
  2. Step 2: Convert to fraction form
    275,499/425,716 = 425,716/x
  3. Step 3: Cross multiply
    275,499x = 425,716 × 425,716
  4. Step 4: Simplify right side
    275,499x = 181,234,112,656
  5. Step 5: Solve for x
    x = 181,234,112,656/275,499
  6. Step 6: Final answer
    x = 657,839.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.