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Finding the Third Proportional to 86,046 and 132,969

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Solution

The third proportional to 86,046 and 132,969 is: 205,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,046 : 132,969 = 132,969 : x
  2. Step 2: Convert to fraction form
    86,046/132,969 = 132,969/x
  3. Step 3: Cross multiply
    86,046x = 132,969 × 132,969
  4. Step 4: Simplify right side
    86,046x = 17,680,754,961
  5. Step 5: Solve for x
    x = 17,680,754,961/86,046
  6. Step 6: Final answer
    x = 205,480.27

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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.