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Finding the Third Proportional to 76,544 and 112,548

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Solution

The third proportional to 76,544 and 112,548 is: 165,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,544 : 112,548 = 112,548 : x
  2. Step 2: Convert to fraction form
    76,544/112,548 = 112,548/x
  3. Step 3: Cross multiply
    76,544x = 112,548 × 112,548
  4. Step 4: Simplify right side
    76,544x = 12,667,052,304
  5. Step 5: Solve for x
    x = 12,667,052,304/76,544
  6. Step 6: Final answer
    x = 165,487.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.