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Finding the Third Proportional to 77,400 and 115,800

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Solution

The third proportional to 77,400 and 115,800 is: 173,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,400 : 115,800 = 115,800 : x
  2. Step 2: Convert to fraction form
    77,400/115,800 = 115,800/x
  3. Step 3: Cross multiply
    77,400x = 115,800 × 115,800
  4. Step 4: Simplify right side
    77,400x = 13,409,640,000
  5. Step 5: Solve for x
    x = 13,409,640,000/77,400
  6. Step 6: Final answer
    x = 173,251.16

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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.