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Finding the Third Proportional to 277,464 and 415,436

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Solution

The third proportional to 277,464 and 415,436 is: 622,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,464 : 415,436 = 415,436 : x
  2. Step 2: Convert to fraction form
    277,464/415,436 = 415,436/x
  3. Step 3: Cross multiply
    277,464x = 415,436 × 415,436
  4. Step 4: Simplify right side
    277,464x = 172,587,070,096
  5. Step 5: Solve for x
    x = 172,587,070,096/277,464
  6. Step 6: Final answer
    x = 622,016.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.