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Finding the Third Proportional to 125,181 and 278,349

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Solution

The third proportional to 125,181 and 278,349 is: 618,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,181 : 278,349 = 278,349 : x
  2. Step 2: Convert to fraction form
    125,181/278,349 = 278,349/x
  3. Step 3: Cross multiply
    125,181x = 278,349 × 278,349
  4. Step 4: Simplify right side
    125,181x = 77,478,165,801
  5. Step 5: Solve for x
    x = 77,478,165,801/125,181
  6. Step 6: Final answer
    x = 618,929.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.