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Finding the Third Proportional to 90,217.13 and 197,346.38

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Solution

The third proportional to 90,217.13 and 197,346.38 is: 431,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,217.13 : 197,346.38 = 197,346.38 : x
  2. Step 2: Convert to fraction form
    90,217.13/197,346.38 = 197,346.38/x
  3. Step 3: Cross multiply
    90,217.13x = 197,346.38 × 197,346.38
  4. Step 4: Simplify right side
    90,217.13x = 38,945,591,725.64
  5. Step 5: Solve for x
    x = 38,945,591,725.64/90,217.13
  6. Step 6: Final answer
    x = 431,687.35

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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.