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Finding the Third Proportional to 20,475.28 and 30,857.20

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Solution

The third proportional to 20,475.28 and 30,857.20 is: 46,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,475.28 : 30,857.20 = 30,857.20 : x
  2. Step 2: Convert to fraction form
    20,475.28/30,857.20 = 30,857.20/x
  3. Step 3: Cross multiply
    20,475.28x = 30,857.20 × 30,857.20
  4. Step 4: Simplify right side
    20,475.28x = 952,166,984.70
  5. Step 5: Solve for x
    x = 952,166,984.70/20,475.28
  6. Step 6: Final answer
    x = 46,503.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.