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Finding the Third Proportional to 99,750 and 216,147

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Solution

The third proportional to 99,750 and 216,147 is: 468,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,750 : 216,147 = 216,147 : x
  2. Step 2: Convert to fraction form
    99,750/216,147 = 216,147/x
  3. Step 3: Cross multiply
    99,750x = 216,147 × 216,147
  4. Step 4: Simplify right side
    99,750x = 46,719,525,609
  5. Step 5: Solve for x
    x = 46,719,525,609/99,750
  6. Step 6: Final answer
    x = 468,366.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.