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Finding the Third Proportional to 273,228 and 415,377

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Solution

The third proportional to 273,228 and 415,377 is: 631,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,228 : 415,377 = 415,377 : x
  2. Step 2: Convert to fraction form
    273,228/415,377 = 415,377/x
  3. Step 3: Cross multiply
    273,228x = 415,377 × 415,377
  4. Step 4: Simplify right side
    273,228x = 172,538,052,129
  5. Step 5: Solve for x
    x = 172,538,052,129/273,228
  6. Step 6: Final answer
    x = 631,480.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.