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Finding the Third Proportional to 147,029 and 318,952

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Solution

The third proportional to 147,029 and 318,952 is: 691,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,029 : 318,952 = 318,952 : x
  2. Step 2: Convert to fraction form
    147,029/318,952 = 318,952/x
  3. Step 3: Cross multiply
    147,029x = 318,952 × 318,952
  4. Step 4: Simplify right side
    147,029x = 101,730,378,304
  5. Step 5: Solve for x
    x = 101,730,378,304/147,029
  6. Step 6: Final answer
    x = 691,906.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.