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Finding the Third Proportional to 99,700 and 218,120

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Solution

The third proportional to 99,700 and 218,120 is: 477,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,700 : 218,120 = 218,120 : x
  2. Step 2: Convert to fraction form
    99,700/218,120 = 218,120/x
  3. Step 3: Cross multiply
    99,700x = 218,120 × 218,120
  4. Step 4: Simplify right side
    99,700x = 47,576,334,400
  5. Step 5: Solve for x
    x = 47,576,334,400/99,700
  6. Step 6: Final answer
    x = 477,194.93

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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.