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Finding the Third Proportional to 155,764 and 327,080

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Solution

The third proportional to 155,764 and 327,080 is: 686,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,764 : 327,080 = 327,080 : x
  2. Step 2: Convert to fraction form
    155,764/327,080 = 327,080/x
  3. Step 3: Cross multiply
    155,764x = 327,080 × 327,080
  4. Step 4: Simplify right side
    155,764x = 106,981,326,400
  5. Step 5: Solve for x
    x = 106,981,326,400/155,764
  6. Step 6: Final answer
    x = 686,816.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.