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Finding the Third Proportional to 99,840 and 217,175

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Solution

The third proportional to 99,840 and 217,175 is: 472,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840 : 217,175 = 217,175 : x
  2. Step 2: Convert to fraction form
    99,840/217,175 = 217,175/x
  3. Step 3: Cross multiply
    99,840x = 217,175 × 217,175
  4. Step 4: Simplify right side
    99,840x = 47,164,980,625
  5. Step 5: Solve for x
    x = 47,164,980,625/99,840
  6. Step 6: Final answer
    x = 472,405.66

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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.