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Finding the Third Proportional to 261,493 and 564,458

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Solution

The third proportional to 261,493 and 564,458 is: 1,218,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,493 : 564,458 = 564,458 : x
  2. Step 2: Convert to fraction form
    261,493/564,458 = 564,458/x
  3. Step 3: Cross multiply
    261,493x = 564,458 × 564,458
  4. Step 4: Simplify right side
    261,493x = 318,612,833,764
  5. Step 5: Solve for x
    x = 318,612,833,764/261,493
  6. Step 6: Final answer
    x = 1,218,437.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.