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Finding the Third Proportional to 8,259.47 and 12,794.20

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Solution

The third proportional to 8,259.47 and 12,794.20 is: 19,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.47 : 12,794.20 = 12,794.20 : x
  2. Step 2: Convert to fraction form
    8,259.47/12,794.20 = 12,794.20/x
  3. Step 3: Cross multiply
    8,259.47x = 12,794.20 × 12,794.20
  4. Step 4: Simplify right side
    8,259.47x = 163,691,633.60
  5. Step 5: Solve for x
    x = 163,691,633.60/8,259.47
  6. Step 6: Final answer
    x = 19,818.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.