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Finding the Third Proportional to 120,938 and 187,723

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Solution

The third proportional to 120,938 and 187,723 is: 291,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,938 : 187,723 = 187,723 : x
  2. Step 2: Convert to fraction form
    120,938/187,723 = 187,723/x
  3. Step 3: Cross multiply
    120,938x = 187,723 × 187,723
  4. Step 4: Simplify right side
    120,938x = 35,239,924,729
  5. Step 5: Solve for x
    x = 35,239,924,729/120,938
  6. Step 6: Final answer
    x = 291,388.35

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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.