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Finding the Third Proportional to 125,179.50 and 278,346

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Solution

The third proportional to 125,179.50 and 278,346 is: 618,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,179.50 : 278,346 = 278,346 : x
  2. Step 2: Convert to fraction form
    125,179.50/278,346 = 278,346/x
  3. Step 3: Cross multiply
    125,179.50x = 278,346 × 278,346
  4. Step 4: Simplify right side
    125,179.50x = 77,476,495,716
  5. Step 5: Solve for x
    x = 77,476,495,716/125,179.50
  6. Step 6: Final answer
    x = 618,923.19

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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.