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Finding the Third Proportional to 179,979.47 and 382,147.88

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Solution

The third proportional to 179,979.47 and 382,147.88 is: 811,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,979.47 : 382,147.88 = 382,147.88 : x
  2. Step 2: Convert to fraction form
    179,979.47/382,147.88 = 382,147.88/x
  3. Step 3: Cross multiply
    179,979.47x = 382,147.88 × 382,147.88
  4. Step 4: Simplify right side
    179,979.47x = 146,036,998,367.02
  5. Step 5: Solve for x
    x = 146,036,998,367.02/179,979.47
  6. Step 6: Final answer
    x = 811,409.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.