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Finding the Third Proportional to 86,406 and 133,437

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Solution

The third proportional to 86,406 and 133,437 is: 206,067.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406 : 133,437 = 133,437 : x
  2. Step 2: Convert to fraction form
    86,406/133,437 = 133,437/x
  3. Step 3: Cross multiply
    86,406x = 133,437 × 133,437
  4. Step 4: Simplify right side
    86,406x = 17,805,432,969
  5. Step 5: Solve for x
    x = 17,805,432,969/86,406
  6. Step 6: Final answer
    x = 206,067.09

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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.