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Finding the Third Proportional to 86,200 and 128,781

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Solution

The third proportional to 86,200 and 128,781 is: 192,396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,200 : 128,781 = 128,781 : x
  2. Step 2: Convert to fraction form
    86,200/128,781 = 128,781/x
  3. Step 3: Cross multiply
    86,200x = 128,781 × 128,781
  4. Step 4: Simplify right side
    86,200x = 16,584,545,961
  5. Step 5: Solve for x
    x = 16,584,545,961/86,200
  6. Step 6: Final answer
    x = 192,396.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.