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Finding the Third Proportional to 90,639.42 and 197,407.97

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Solution

The third proportional to 90,639.42 and 197,407.97 is: 429,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,639.42 : 197,407.97 = 197,407.97 : x
  2. Step 2: Convert to fraction form
    90,639.42/197,407.97 = 197,407.97/x
  3. Step 3: Cross multiply
    90,639.42x = 197,407.97 × 197,407.97
  4. Step 4: Simplify right side
    90,639.42x = 38,969,906,126.00
  5. Step 5: Solve for x
    x = 38,969,906,126.00/90,639.42
  6. Step 6: Final answer
    x = 429,944.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.