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Finding the Third Proportional to 99,164 and 217,984

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Solution

The third proportional to 99,164 and 217,984 is: 479,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,164 : 217,984 = 217,984 : x
  2. Step 2: Convert to fraction form
    99,164/217,984 = 217,984/x
  3. Step 3: Cross multiply
    99,164x = 217,984 × 217,984
  4. Step 4: Simplify right side
    99,164x = 47,517,024,256
  5. Step 5: Solve for x
    x = 47,517,024,256/99,164
  6. Step 6: Final answer
    x = 479,176.16

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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.