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Finding the Third Proportional to 20,775.50 and 45,311

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Solution

The third proportional to 20,775.50 and 45,311 is: 98,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.50 : 45,311 = 45,311 : x
  2. Step 2: Convert to fraction form
    20,775.50/45,311 = 45,311/x
  3. Step 3: Cross multiply
    20,775.50x = 45,311 × 45,311
  4. Step 4: Simplify right side
    20,775.50x = 2,053,086,721
  5. Step 5: Solve for x
    x = 2,053,086,721/20,775.50
  6. Step 6: Final answer
    x = 98,822.49

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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.