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Finding the Third Proportional to 110,787 and 155,452.50

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Solution

The third proportional to 110,787 and 155,452.50 is: 218,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,787 : 155,452.50 = 155,452.50 : x
  2. Step 2: Convert to fraction form
    110,787/155,452.50 = 155,452.50/x
  3. Step 3: Cross multiply
    110,787x = 155,452.50 × 155,452.50
  4. Step 4: Simplify right side
    110,787x = 24,165,479,756.25
  5. Step 5: Solve for x
    x = 24,165,479,756.25/110,787
  6. Step 6: Final answer
    x = 218,125.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.