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Finding the Third Proportional to 155,949 and 328,194.75

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Solution

The third proportional to 155,949 and 328,194.75 is: 690,686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,949 : 328,194.75 = 328,194.75 : x
  2. Step 2: Convert to fraction form
    155,949/328,194.75 = 328,194.75/x
  3. Step 3: Cross multiply
    155,949x = 328,194.75 × 328,194.75
  4. Step 4: Simplify right side
    155,949x = 107,711,793,927.56
  5. Step 5: Solve for x
    x = 107,711,793,927.56/155,949
  6. Step 6: Final answer
    x = 690,686.02

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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.