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Finding the Third Proportional to 120,318 and 137,814

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Solution

The third proportional to 120,318 and 137,814 is: 157,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,318 : 137,814 = 137,814 : x
  2. Step 2: Convert to fraction form
    120,318/137,814 = 137,814/x
  3. Step 3: Cross multiply
    120,318x = 137,814 × 137,814
  4. Step 4: Simplify right side
    120,318x = 18,992,698,596
  5. Step 5: Solve for x
    x = 18,992,698,596/120,318
  6. Step 6: Final answer
    x = 157,854.17

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.