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Finding the Third Proportional to 99,822 and 218,784

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Solution

The third proportional to 99,822 and 218,784 is: 479,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,822 : 218,784 = 218,784 : x
  2. Step 2: Convert to fraction form
    99,822/218,784 = 218,784/x
  3. Step 3: Cross multiply
    99,822x = 218,784 × 218,784
  4. Step 4: Simplify right side
    99,822x = 47,866,438,656
  5. Step 5: Solve for x
    x = 47,866,438,656/99,822
  6. Step 6: Final answer
    x = 479,517.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.