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Finding the Third Proportional to 8,434.13 and 13,228.31

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Solution

The third proportional to 8,434.13 and 13,228.31 is: 20,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.13 : 13,228.31 = 13,228.31 : x
  2. Step 2: Convert to fraction form
    8,434.13/13,228.31 = 13,228.31/x
  3. Step 3: Cross multiply
    8,434.13x = 13,228.31 × 13,228.31
  4. Step 4: Simplify right side
    8,434.13x = 174,988,251.60
  5. Step 5: Solve for x
    x = 174,988,251.60/8,434.13
  6. Step 6: Final answer
    x = 20,747.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.