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Finding the Third Proportional to 138,764 and 198,290

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Solution

The third proportional to 138,764 and 198,290 is: 283,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,764 : 198,290 = 198,290 : x
  2. Step 2: Convert to fraction form
    138,764/198,290 = 198,290/x
  3. Step 3: Cross multiply
    138,764x = 198,290 × 198,290
  4. Step 4: Simplify right side
    138,764x = 39,318,924,100
  5. Step 5: Solve for x
    x = 39,318,924,100/138,764
  6. Step 6: Final answer
    x = 283,351.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.