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Finding the Third Proportional to 81,932 and 130,278

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Solution

The third proportional to 81,932 and 130,278 is: 207,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,932 : 130,278 = 130,278 : x
  2. Step 2: Convert to fraction form
    81,932/130,278 = 130,278/x
  3. Step 3: Cross multiply
    81,932x = 130,278 × 130,278
  4. Step 4: Simplify right side
    81,932x = 16,972,357,284
  5. Step 5: Solve for x
    x = 16,972,357,284/81,932
  6. Step 6: Final answer
    x = 207,151.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.