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Finding the Third Proportional to 137,151 and 207,189

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Solution

The third proportional to 137,151 and 207,189 is: 312,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,151 : 207,189 = 207,189 : x
  2. Step 2: Convert to fraction form
    137,151/207,189 = 207,189/x
  3. Step 3: Cross multiply
    137,151x = 207,189 × 207,189
  4. Step 4: Simplify right side
    137,151x = 42,927,281,721
  5. Step 5: Solve for x
    x = 42,927,281,721/137,151
  6. Step 6: Final answer
    x = 312,992.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.