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Finding the Third Proportional to 86,311 and 137,396

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Solution

The third proportional to 86,311 and 137,396 is: 218,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,311 : 137,396 = 137,396 : x
  2. Step 2: Convert to fraction form
    86,311/137,396 = 137,396/x
  3. Step 3: Cross multiply
    86,311x = 137,396 × 137,396
  4. Step 4: Simplify right side
    86,311x = 18,877,660,816
  5. Step 5: Solve for x
    x = 18,877,660,816/86,311
  6. Step 6: Final answer
    x = 218,716.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.