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Finding the Third Proportional to 21,758.81 and 29,357.44

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Solution

The third proportional to 21,758.81 and 29,357.44 is: 39,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.81 : 29,357.44 = 29,357.44 : x
  2. Step 2: Convert to fraction form
    21,758.81/29,357.44 = 29,357.44/x
  3. Step 3: Cross multiply
    21,758.81x = 29,357.44 × 29,357.44
  4. Step 4: Simplify right side
    21,758.81x = 861,859,136.57
  5. Step 5: Solve for x
    x = 861,859,136.57/21,758.81
  6. Step 6: Final answer
    x = 39,609.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.