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Finding the Third Proportional to 90,781 and 197,145

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Solution

The third proportional to 90,781 and 197,145 is: 428,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,781 : 197,145 = 197,145 : x
  2. Step 2: Convert to fraction form
    90,781/197,145 = 197,145/x
  3. Step 3: Cross multiply
    90,781x = 197,145 × 197,145
  4. Step 4: Simplify right side
    90,781x = 38,866,151,025
  5. Step 5: Solve for x
    x = 38,866,151,025/90,781
  6. Step 6: Final answer
    x = 428,130.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.