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Finding the Third Proportional to 40,653 and 75,649.50

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Solution

The third proportional to 40,653 and 75,649.50 is: 140,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,653 : 75,649.50 = 75,649.50 : x
  2. Step 2: Convert to fraction form
    40,653/75,649.50 = 75,649.50/x
  3. Step 3: Cross multiply
    40,653x = 75,649.50 × 75,649.50
  4. Step 4: Simplify right side
    40,653x = 5,722,846,850.25
  5. Step 5: Solve for x
    x = 5,722,846,850.25/40,653
  6. Step 6: Final answer
    x = 140,773.05

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.