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Finding the Third Proportional to 20,320,672.50 and 30,957,405.75

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Solution

The third proportional to 20,320,672.50 and 30,957,405.75 is: 47,161,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320,672.50 : 30,957,405.75 = 30,957,405.75 : x
  2. Step 2: Convert to fraction form
    20,320,672.50/30,957,405.75 = 30,957,405.75/x
  3. Step 3: Cross multiply
    20,320,672.50x = 30,957,405.75 × 30,957,405.75
  4. Step 4: Simplify right side
    20,320,672.50x = 958,360,970,770,133
  5. Step 5: Solve for x
    x = 958,360,970,770,133/20,320,672.50
  6. Step 6: Final answer
    x = 47,161,872.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.