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Finding the Third Proportional to 86,017 and 136,961.50

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Solution

The third proportional to 86,017 and 136,961.50 is: 218,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,017 : 136,961.50 = 136,961.50 : x
  2. Step 2: Convert to fraction form
    86,017/136,961.50 = 136,961.50/x
  3. Step 3: Cross multiply
    86,017x = 136,961.50 × 136,961.50
  4. Step 4: Simplify right side
    86,017x = 18,758,452,482.25
  5. Step 5: Solve for x
    x = 18,758,452,482.25/86,017
  6. Step 6: Final answer
    x = 218,078.43

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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.