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Finding the Third Proportional to 120,906 and 187,677

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Solution

The third proportional to 120,906 and 187,677 is: 291,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,906 : 187,677 = 187,677 : x
  2. Step 2: Convert to fraction form
    120,906/187,677 = 187,677/x
  3. Step 3: Cross multiply
    120,906x = 187,677 × 187,677
  4. Step 4: Simplify right side
    120,906x = 35,222,656,329
  5. Step 5: Solve for x
    x = 35,222,656,329/120,906
  6. Step 6: Final answer
    x = 291,322.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.