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Finding the Third Proportional to 61,240 and 131,229

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Solution

The third proportional to 61,240 and 131,229 is: 281,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,240 : 131,229 = 131,229 : x
  2. Step 2: Convert to fraction form
    61,240/131,229 = 131,229/x
  3. Step 3: Cross multiply
    61,240x = 131,229 × 131,229
  4. Step 4: Simplify right side
    61,240x = 17,221,050,441
  5. Step 5: Solve for x
    x = 17,221,050,441/61,240
  6. Step 6: Final answer
    x = 281,205.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.