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Finding the Third Proportional to 81,947 and 112,149

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Solution

The third proportional to 81,947 and 112,149 is: 153,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,947 : 112,149 = 112,149 : x
  2. Step 2: Convert to fraction form
    81,947/112,149 = 112,149/x
  3. Step 3: Cross multiply
    81,947x = 112,149 × 112,149
  4. Step 4: Simplify right side
    81,947x = 12,577,398,201
  5. Step 5: Solve for x
    x = 12,577,398,201/81,947
  6. Step 6: Final answer
    x = 153,482.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.