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Finding the Third Proportional to 179,959.50 and 393,816.38

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Solution

The third proportional to 179,959.50 and 393,816.38 is: 861,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,959.50 : 393,816.38 = 393,816.38 : x
  2. Step 2: Convert to fraction form
    179,959.50/393,816.38 = 393,816.38/x
  3. Step 3: Cross multiply
    179,959.50x = 393,816.38 × 393,816.38
  4. Step 4: Simplify right side
    179,959.50x = 155,091,337,218.14
  5. Step 5: Solve for x
    x = 155,091,337,218.14/179,959.50
  6. Step 6: Final answer
    x = 861,812.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.