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Finding the Third Proportional to 20,691 and 31,703.06

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Solution

The third proportional to 20,691 and 31,703.06 is: 48,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691 : 31,703.06 = 31,703.06 : x
  2. Step 2: Convert to fraction form
    20,691/31,703.06 = 31,703.06/x
  3. Step 3: Cross multiply
    20,691x = 31,703.06 × 31,703.06
  4. Step 4: Simplify right side
    20,691x = 1,005,084,171.88
  5. Step 5: Solve for x
    x = 1,005,084,171.88/20,691
  6. Step 6: Final answer
    x = 48,575.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.