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Finding the Third Proportional to 20,691 and 29,985.75

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Solution

The third proportional to 20,691 and 29,985.75 is: 43,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691 : 29,985.75 = 29,985.75 : x
  2. Step 2: Convert to fraction form
    20,691/29,985.75 = 29,985.75/x
  3. Step 3: Cross multiply
    20,691x = 29,985.75 × 29,985.75
  4. Step 4: Simplify right side
    20,691x = 899,145,203.06
  5. Step 5: Solve for x
    x = 899,145,203.06/20,691
  6. Step 6: Final answer
    x = 43,455.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.