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Finding the Third Proportional to 129,168 and 278,720

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Solution

The third proportional to 129,168 and 278,720 is: 601,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,168 : 278,720 = 278,720 : x
  2. Step 2: Convert to fraction form
    129,168/278,720 = 278,720/x
  3. Step 3: Cross multiply
    129,168x = 278,720 × 278,720
  4. Step 4: Simplify right side
    129,168x = 77,684,838,400
  5. Step 5: Solve for x
    x = 77,684,838,400/129,168
  6. Step 6: Final answer
    x = 601,424.80

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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.