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Finding the Third Proportional to 20,746.50 and 31,908

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Solution

The third proportional to 20,746.50 and 31,908 is: 49,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746.50 : 31,908 = 31,908 : x
  2. Step 2: Convert to fraction form
    20,746.50/31,908 = 31,908/x
  3. Step 3: Cross multiply
    20,746.50x = 31,908 × 31,908
  4. Step 4: Simplify right side
    20,746.50x = 1,018,120,464
  5. Step 5: Solve for x
    x = 1,018,120,464/20,746.50
  6. Step 6: Final answer
    x = 49,074.32

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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.