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Finding the Third Proportional to 20,577 and 31,721

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Solution

The third proportional to 20,577 and 31,721 is: 48,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,577 : 31,721 = 31,721 : x
  2. Step 2: Convert to fraction form
    20,577/31,721 = 31,721/x
  3. Step 3: Cross multiply
    20,577x = 31,721 × 31,721
  4. Step 4: Simplify right side
    20,577x = 1,006,221,841
  5. Step 5: Solve for x
    x = 1,006,221,841/20,577
  6. Step 6: Final answer
    x = 48,900.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.