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Finding the Third Proportional to 129,920 and 280,564

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Solution

The third proportional to 129,920 and 280,564 is: 605,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,920 : 280,564 = 280,564 : x
  2. Step 2: Convert to fraction form
    129,920/280,564 = 280,564/x
  3. Step 3: Cross multiply
    129,920x = 280,564 × 280,564
  4. Step 4: Simplify right side
    129,920x = 78,716,158,096
  5. Step 5: Solve for x
    x = 78,716,158,096/129,920
  6. Step 6: Final answer
    x = 605,881.76

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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.