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Finding the Third Proportional to 129,703 and 282,122

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Solution

The third proportional to 129,703 and 282,122 is: 613,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,703 : 282,122 = 282,122 : x
  2. Step 2: Convert to fraction form
    129,703/282,122 = 282,122/x
  3. Step 3: Cross multiply
    129,703x = 282,122 × 282,122
  4. Step 4: Simplify right side
    129,703x = 79,592,822,884
  5. Step 5: Solve for x
    x = 79,592,822,884/129,703
  6. Step 6: Final answer
    x = 613,654.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.