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Finding the Third Proportional to 253,910 and 371,521

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Solution

The third proportional to 253,910 and 371,521 is: 543,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,910 : 371,521 = 371,521 : x
  2. Step 2: Convert to fraction form
    253,910/371,521 = 371,521/x
  3. Step 3: Cross multiply
    253,910x = 371,521 × 371,521
  4. Step 4: Simplify right side
    253,910x = 138,027,853,441
  5. Step 5: Solve for x
    x = 138,027,853,441/253,910
  6. Step 6: Final answer
    x = 543,609.36

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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.