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Finding the Third Proportional to 90,486 and 197,034

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Solution

The third proportional to 90,486 and 197,034 is: 429,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,486 : 197,034 = 197,034 : x
  2. Step 2: Convert to fraction form
    90,486/197,034 = 197,034/x
  3. Step 3: Cross multiply
    90,486x = 197,034 × 197,034
  4. Step 4: Simplify right side
    90,486x = 38,822,397,156
  5. Step 5: Solve for x
    x = 38,822,397,156/90,486
  6. Step 6: Final answer
    x = 429,043.14

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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.