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Finding the Third Proportional to 125,613 and 188,689

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Solution

The third proportional to 125,613 and 188,689 is: 283,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,613 : 188,689 = 188,689 : x
  2. Step 2: Convert to fraction form
    125,613/188,689 = 188,689/x
  3. Step 3: Cross multiply
    125,613x = 188,689 × 188,689
  4. Step 4: Simplify right side
    125,613x = 35,603,538,721
  5. Step 5: Solve for x
    x = 35,603,538,721/125,613
  6. Step 6: Final answer
    x = 283,438.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.