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Finding the Third Proportional to 99,156 and 217,995

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Solution

The third proportional to 99,156 and 217,995 is: 479,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,156 : 217,995 = 217,995 : x
  2. Step 2: Convert to fraction form
    99,156/217,995 = 217,995/x
  3. Step 3: Cross multiply
    99,156x = 217,995 × 217,995
  4. Step 4: Simplify right side
    99,156x = 47,521,820,025
  5. Step 5: Solve for x
    x = 47,521,820,025/99,156
  6. Step 6: Final answer
    x = 479,263.18

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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.