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Finding the Third Proportional to 99,160 and 218,438

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Solution

The third proportional to 99,160 and 218,438 is: 481,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,160 : 218,438 = 218,438 : x
  2. Step 2: Convert to fraction form
    99,160/218,438 = 218,438/x
  3. Step 3: Cross multiply
    99,160x = 218,438 × 218,438
  4. Step 4: Simplify right side
    99,160x = 47,715,159,844
  5. Step 5: Solve for x
    x = 47,715,159,844/99,160
  6. Step 6: Final answer
    x = 481,193.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.