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Finding the Third Proportional to 99,081 and 215,658

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Solution

The third proportional to 99,081 and 215,658 is: 469,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,081 : 215,658 = 215,658 : x
  2. Step 2: Convert to fraction form
    99,081/215,658 = 215,658/x
  3. Step 3: Cross multiply
    99,081x = 215,658 × 215,658
  4. Step 4: Simplify right side
    99,081x = 46,508,372,964
  5. Step 5: Solve for x
    x = 46,508,372,964/99,081
  6. Step 6: Final answer
    x = 469,397.49

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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.