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Finding the Third Proportional to 129,336 and 279,060

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Solution

The third proportional to 129,336 and 279,060 is: 602,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,336 : 279,060 = 279,060 : x
  2. Step 2: Convert to fraction form
    129,336/279,060 = 279,060/x
  3. Step 3: Cross multiply
    129,336x = 279,060 × 279,060
  4. Step 4: Simplify right side
    129,336x = 77,874,483,600
  5. Step 5: Solve for x
    x = 77,874,483,600/129,336
  6. Step 6: Final answer
    x = 602,109.88

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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.