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Finding the Third Proportional to 147,934 and 323,489

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Solution

The third proportional to 147,934 and 323,489 is: 707,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,934 : 323,489 = 323,489 : x
  2. Step 2: Convert to fraction form
    147,934/323,489 = 323,489/x
  3. Step 3: Cross multiply
    147,934x = 323,489 × 323,489
  4. Step 4: Simplify right side
    147,934x = 104,645,133,121
  5. Step 5: Solve for x
    x = 104,645,133,121/147,934
  6. Step 6: Final answer
    x = 707,377.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.