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Finding the Third Proportional to 21,022.13 and 29,437.31

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Solution

The third proportional to 21,022.13 and 29,437.31 is: 41,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.13 : 29,437.31 = 29,437.31 : x
  2. Step 2: Convert to fraction form
    21,022.13/29,437.31 = 29,437.31/x
  3. Step 3: Cross multiply
    21,022.13x = 29,437.31 × 29,437.31
  4. Step 4: Simplify right side
    21,022.13x = 866,555,367.22
  5. Step 5: Solve for x
    x = 866,555,367.22/21,022.13
  6. Step 6: Final answer
    x = 41,221.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.