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Finding the Third Proportional to 69,800 and 155,080

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Solution

The third proportional to 69,800 and 155,080 is: 344,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,800 : 155,080 = 155,080 : x
  2. Step 2: Convert to fraction form
    69,800/155,080 = 155,080/x
  3. Step 3: Cross multiply
    69,800x = 155,080 × 155,080
  4. Step 4: Simplify right side
    69,800x = 24,049,806,400
  5. Step 5: Solve for x
    x = 24,049,806,400/69,800
  6. Step 6: Final answer
    x = 344,553.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.