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Finding the Third Proportional to 147,042 and 318,972

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Solution

The third proportional to 147,042 and 318,972 is: 691,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,042 : 318,972 = 318,972 : x
  2. Step 2: Convert to fraction form
    147,042/318,972 = 318,972/x
  3. Step 3: Cross multiply
    147,042x = 318,972 × 318,972
  4. Step 4: Simplify right side
    147,042x = 101,743,136,784
  5. Step 5: Solve for x
    x = 101,743,136,784/147,042
  6. Step 6: Final answer
    x = 691,932.49

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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.