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Finding the Third Proportional to 125,686 and 287,151

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Solution

The third proportional to 125,686 and 287,151 is: 656,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,686 : 287,151 = 287,151 : x
  2. Step 2: Convert to fraction form
    125,686/287,151 = 287,151/x
  3. Step 3: Cross multiply
    125,686x = 287,151 × 287,151
  4. Step 4: Simplify right side
    125,686x = 82,455,696,801
  5. Step 5: Solve for x
    x = 82,455,696,801/125,686
  6. Step 6: Final answer
    x = 656,045.20

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.