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Finding the Third Proportional to 261,729 and 564,930

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Solution

The third proportional to 261,729 and 564,930 is: 1,219,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,729 : 564,930 = 564,930 : x
  2. Step 2: Convert to fraction form
    261,729/564,930 = 564,930/x
  3. Step 3: Cross multiply
    261,729x = 564,930 × 564,930
  4. Step 4: Simplify right side
    261,729x = 319,145,904,900
  5. Step 5: Solve for x
    x = 319,145,904,900/261,729
  6. Step 6: Final answer
    x = 1,219,375.40

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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.