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Finding the Third Proportional to 276,458 and 415,743

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Solution

The third proportional to 276,458 and 415,743 is: 625,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,458 : 415,743 = 415,743 : x
  2. Step 2: Convert to fraction form
    276,458/415,743 = 415,743/x
  3. Step 3: Cross multiply
    276,458x = 415,743 × 415,743
  4. Step 4: Simplify right side
    276,458x = 172,842,242,049
  5. Step 5: Solve for x
    x = 172,842,242,049/276,458
  6. Step 6: Final answer
    x = 625,202.53

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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.