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Finding the Third Proportional to 86,912 and 131,340

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Solution

The third proportional to 86,912 and 131,340 is: 198,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,912 : 131,340 = 131,340 : x
  2. Step 2: Convert to fraction form
    86,912/131,340 = 131,340/x
  3. Step 3: Cross multiply
    86,912x = 131,340 × 131,340
  4. Step 4: Simplify right side
    86,912x = 17,250,195,600
  5. Step 5: Solve for x
    x = 17,250,195,600/86,912
  6. Step 6: Final answer
    x = 198,478.87

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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.