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Finding the Third Proportional to 90,512 and 197,080

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Solution

The third proportional to 90,512 and 197,080 is: 429,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,512 : 197,080 = 197,080 : x
  2. Step 2: Convert to fraction form
    90,512/197,080 = 197,080/x
  3. Step 3: Cross multiply
    90,512x = 197,080 × 197,080
  4. Step 4: Simplify right side
    90,512x = 38,840,526,400
  5. Step 5: Solve for x
    x = 38,840,526,400/90,512
  6. Step 6: Final answer
    x = 429,120.19

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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.