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Finding the Third Proportional to 71,280 and 155,923

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Solution

The third proportional to 71,280 and 155,923 is: 341,077.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,280 : 155,923 = 155,923 : x
  2. Step 2: Convert to fraction form
    71,280/155,923 = 155,923/x
  3. Step 3: Cross multiply
    71,280x = 155,923 × 155,923
  4. Step 4: Simplify right side
    71,280x = 24,311,981,929
  5. Step 5: Solve for x
    x = 24,311,981,929/71,280
  6. Step 6: Final answer
    x = 341,077.19

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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.