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Finding the Third Proportional to 86,642 and 133,091

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Solution

The third proportional to 86,642 and 133,091 is: 204,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,642 : 133,091 = 133,091 : x
  2. Step 2: Convert to fraction form
    86,642/133,091 = 133,091/x
  3. Step 3: Cross multiply
    86,642x = 133,091 × 133,091
  4. Step 4: Simplify right side
    86,642x = 17,713,214,281
  5. Step 5: Solve for x
    x = 17,713,214,281/86,642
  6. Step 6: Final answer
    x = 204,441.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.