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Finding the Third Proportional to 356,908 and 521,952

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Solution

The third proportional to 356,908 and 521,952 is: 763,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,908 : 521,952 = 521,952 : x
  2. Step 2: Convert to fraction form
    356,908/521,952 = 521,952/x
  3. Step 3: Cross multiply
    356,908x = 521,952 × 521,952
  4. Step 4: Simplify right side
    356,908x = 272,433,890,304
  5. Step 5: Solve for x
    x = 272,433,890,304/356,908
  6. Step 6: Final answer
    x = 763,316.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.