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Finding the Third Proportional to 277,494 and 415,128

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Solution

The third proportional to 277,494 and 415,128 is: 621,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,494 : 415,128 = 415,128 : x
  2. Step 2: Convert to fraction form
    277,494/415,128 = 415,128/x
  3. Step 3: Cross multiply
    277,494x = 415,128 × 415,128
  4. Step 4: Simplify right side
    277,494x = 172,331,256,384
  5. Step 5: Solve for x
    x = 172,331,256,384/277,494
  6. Step 6: Final answer
    x = 621,026.96

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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.