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Finding the Third Proportional to 138,656 and 198,139

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Solution

The third proportional to 138,656 and 198,139 is: 283,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,656 : 198,139 = 198,139 : x
  2. Step 2: Convert to fraction form
    138,656/198,139 = 198,139/x
  3. Step 3: Cross multiply
    138,656x = 198,139 × 198,139
  4. Step 4: Simplify right side
    138,656x = 39,259,063,321
  5. Step 5: Solve for x
    x = 39,259,063,321/138,656
  6. Step 6: Final answer
    x = 283,140.03

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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.