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Finding the Third Proportional to 129,952 and 284,722

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Solution

The third proportional to 129,952 and 284,722 is: 623,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,952 : 284,722 = 284,722 : x
  2. Step 2: Convert to fraction form
    129,952/284,722 = 284,722/x
  3. Step 3: Cross multiply
    129,952x = 284,722 × 284,722
  4. Step 4: Simplify right side
    129,952x = 81,066,617,284
  5. Step 5: Solve for x
    x = 81,066,617,284/129,952
  6. Step 6: Final answer
    x = 623,819.70

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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.