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Finding the Third Proportional to 86,542 and 130,966

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Solution

The third proportional to 86,542 and 130,966 is: 198,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,542 : 130,966 = 130,966 : x
  2. Step 2: Convert to fraction form
    86,542/130,966 = 130,966/x
  3. Step 3: Cross multiply
    86,542x = 130,966 × 130,966
  4. Step 4: Simplify right side
    86,542x = 17,152,093,156
  5. Step 5: Solve for x
    x = 17,152,093,156/86,542
  6. Step 6: Final answer
    x = 198,193.86

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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.