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Finding the Third Proportional to 129,930 and 284,160

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Solution

The third proportional to 129,930 and 284,160 is: 621,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,930 : 284,160 = 284,160 : x
  2. Step 2: Convert to fraction form
    129,930/284,160 = 284,160/x
  3. Step 3: Cross multiply
    129,930x = 284,160 × 284,160
  4. Step 4: Simplify right side
    129,930x = 80,746,905,600
  5. Step 5: Solve for x
    x = 80,746,905,600/129,930
  6. Step 6: Final answer
    x = 621,464.68

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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.