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Finding the Third Proportional to 99,023 and 213,829

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Solution

The third proportional to 99,023 and 213,829 is: 461,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,023 : 213,829 = 213,829 : x
  2. Step 2: Convert to fraction form
    99,023/213,829 = 213,829/x
  3. Step 3: Cross multiply
    99,023x = 213,829 × 213,829
  4. Step 4: Simplify right side
    99,023x = 45,722,841,241
  5. Step 5: Solve for x
    x = 45,722,841,241/99,023
  6. Step 6: Final answer
    x = 461,739.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.