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Finding the Third Proportional to 28,198.13 and 39,421.69

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Solution

The third proportional to 28,198.13 and 39,421.69 is: 55,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,198.13 : 39,421.69 = 39,421.69 : x
  2. Step 2: Convert to fraction form
    28,198.13/39,421.69 = 39,421.69/x
  3. Step 3: Cross multiply
    28,198.13x = 39,421.69 × 39,421.69
  4. Step 4: Simplify right side
    28,198.13x = 1,554,069,445.35
  5. Step 5: Solve for x
    x = 1,554,069,445.35/28,198.13
  6. Step 6: Final answer
    x = 55,112.51

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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.