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Finding the Third Proportional to 3,039.40 and 4,539.80

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Solution

The third proportional to 3,039.40 and 4,539.80 is: 6,780.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.40 : 4,539.80 = 4,539.80 : x
  2. Step 2: Convert to fraction form
    3,039.40/4,539.80 = 4,539.80/x
  3. Step 3: Cross multiply
    3,039.40x = 4,539.80 × 4,539.80
  4. Step 4: Simplify right side
    3,039.40x = 20,609,755.67
  5. Step 5: Solve for x
    x = 20,609,755.67/3,039.40
  6. Step 6: Final answer
    x = 6,780.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.