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Finding the Third Proportional to 20,775 and 45,358.13

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Solution

The third proportional to 20,775 and 45,358.13 is: 99,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775 : 45,358.13 = 45,358.13 : x
  2. Step 2: Convert to fraction form
    20,775/45,358.13 = 45,358.13/x
  3. Step 3: Cross multiply
    20,775x = 45,358.13 × 45,358.13
  4. Step 4: Simplify right side
    20,775x = 2,057,359,503.52
  5. Step 5: Solve for x
    x = 2,057,359,503.52/20,775
  6. Step 6: Final answer
    x = 99,030.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.