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Finding the Third Proportional to 20,253.75 and 30,312.75

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Solution

The third proportional to 20,253.75 and 30,312.75 is: 45,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253.75 : 30,312.75 = 30,312.75 : x
  2. Step 2: Convert to fraction form
    20,253.75/30,312.75 = 30,312.75/x
  3. Step 3: Cross multiply
    20,253.75x = 30,312.75 × 30,312.75
  4. Step 4: Simplify right side
    20,253.75x = 918,862,812.56
  5. Step 5: Solve for x
    x = 918,862,812.56/20,253.75
  6. Step 6: Final answer
    x = 45,367.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.