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Finding the Third Proportional to 282,730 and 415,626

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Solution

The third proportional to 282,730 and 415,626 is: 610,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,730 : 415,626 = 415,626 : x
  2. Step 2: Convert to fraction form
    282,730/415,626 = 415,626/x
  3. Step 3: Cross multiply
    282,730x = 415,626 × 415,626
  4. Step 4: Simplify right side
    282,730x = 172,744,971,876
  5. Step 5: Solve for x
    x = 172,744,971,876/282,730
  6. Step 6: Final answer
    x = 610,989.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.