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Finding the Third Proportional to 99,920 and 217,462

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Solution

The third proportional to 99,920 and 217,462 is: 473,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,920 : 217,462 = 217,462 : x
  2. Step 2: Convert to fraction form
    99,920/217,462 = 217,462/x
  3. Step 3: Cross multiply
    99,920x = 217,462 × 217,462
  4. Step 4: Simplify right side
    99,920x = 47,289,721,444
  5. Step 5: Solve for x
    x = 47,289,721,444/99,920
  6. Step 6: Final answer
    x = 473,275.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.