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Finding the Third Proportional to 20,101.50 and 29,230.88

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Solution

The third proportional to 20,101.50 and 29,230.88 is: 42,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.50 : 29,230.88 = 29,230.88 : x
  2. Step 2: Convert to fraction form
    20,101.50/29,230.88 = 29,230.88/x
  3. Step 3: Cross multiply
    20,101.50x = 29,230.88 × 29,230.88
  4. Step 4: Simplify right side
    20,101.50x = 854,444,053.27
  5. Step 5: Solve for x
    x = 854,444,053.27/20,101.50
  6. Step 6: Final answer
    x = 42,506.48

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1.5x scale

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.