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Finding the Third Proportional to 99,840 and 218,166

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Solution

The third proportional to 99,840 and 218,166 is: 476,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840 : 218,166 = 218,166 : x
  2. Step 2: Convert to fraction form
    99,840/218,166 = 218,166/x
  3. Step 3: Cross multiply
    99,840x = 218,166 × 218,166
  4. Step 4: Simplify right side
    99,840x = 47,596,403,556
  5. Step 5: Solve for x
    x = 47,596,403,556/99,840
  6. Step 6: Final answer
    x = 476,726.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.