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Finding the Third Proportional to 100,511.44 and 155,490.47

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Solution

The third proportional to 100,511.44 and 155,490.47 is: 240,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,511.44 : 155,490.47 = 155,490.47 : x
  2. Step 2: Convert to fraction form
    100,511.44/155,490.47 = 155,490.47/x
  3. Step 3: Cross multiply
    100,511.44x = 155,490.47 × 155,490.47
  4. Step 4: Simplify right side
    100,511.44x = 24,177,285,872.09
  5. Step 5: Solve for x
    x = 24,177,285,872.09/100,511.44
  6. Step 6: Final answer
    x = 240,542.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.