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Finding the Third Proportional to 99,840 and 218,184

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Solution

The third proportional to 99,840 and 218,184 is: 476,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,840 : 218,184 = 218,184 : x
  2. Step 2: Convert to fraction form
    99,840/218,184 = 218,184/x
  3. Step 3: Cross multiply
    99,840x = 218,184 × 218,184
  4. Step 4: Simplify right side
    99,840x = 47,604,257,856
  5. Step 5: Solve for x
    x = 47,604,257,856/99,840
  6. Step 6: Final answer
    x = 476,805.47

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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.