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Finding the Third Proportional to 120,719 and 191,110

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Solution

The third proportional to 120,719 and 191,110 is: 302,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,719 : 191,110 = 191,110 : x
  2. Step 2: Convert to fraction form
    120,719/191,110 = 191,110/x
  3. Step 3: Cross multiply
    120,719x = 191,110 × 191,110
  4. Step 4: Simplify right side
    120,719x = 36,523,032,100
  5. Step 5: Solve for x
    x = 36,523,032,100/120,719
  6. Step 6: Final answer
    x = 302,545.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.