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Finding the Third Proportional to 86,891.50 and 138,768.50

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Solution

The third proportional to 86,891.50 and 138,768.50 is: 221,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,891.50 : 138,768.50 = 138,768.50 : x
  2. Step 2: Convert to fraction form
    86,891.50/138,768.50 = 138,768.50/x
  3. Step 3: Cross multiply
    86,891.50x = 138,768.50 × 138,768.50
  4. Step 4: Simplify right side
    86,891.50x = 19,256,696,592.25
  5. Step 5: Solve for x
    x = 19,256,696,592.25/86,891.50
  6. Step 6: Final answer
    x = 221,617.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.