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Finding the Third Proportional to 284,778 and 415,921

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Solution

The third proportional to 284,778 and 415,921 is: 607,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,778 : 415,921 = 415,921 : x
  2. Step 2: Convert to fraction form
    284,778/415,921 = 415,921/x
  3. Step 3: Cross multiply
    284,778x = 415,921 × 415,921
  4. Step 4: Simplify right side
    284,778x = 172,990,278,241
  5. Step 5: Solve for x
    x = 172,990,278,241/284,778
  6. Step 6: Final answer
    x = 607,456.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.