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Finding the Third Proportional to 86,743 and 134,054

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Solution

The third proportional to 86,743 and 134,054 is: 207,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,743 : 134,054 = 134,054 : x
  2. Step 2: Convert to fraction form
    86,743/134,054 = 134,054/x
  3. Step 3: Cross multiply
    86,743x = 134,054 × 134,054
  4. Step 4: Simplify right side
    86,743x = 17,970,474,916
  5. Step 5: Solve for x
    x = 17,970,474,916/86,743
  6. Step 6: Final answer
    x = 207,169.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.