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Finding the Third Proportional to 99,695.81 and 218,765.25

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Solution

The third proportional to 99,695.81 and 218,765.25 is: 480,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,695.81 : 218,765.25 = 218,765.25 : x
  2. Step 2: Convert to fraction form
    99,695.81/218,765.25 = 218,765.25/x
  3. Step 3: Cross multiply
    99,695.81x = 218,765.25 × 218,765.25
  4. Step 4: Simplify right side
    99,695.81x = 47,858,234,607.56
  5. Step 5: Solve for x
    x = 47,858,234,607.56/99,695.81
  6. Step 6: Final answer
    x = 480,042.58

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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.