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Finding the Third Proportional to 8,206.13 and 12,730.69

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Solution

The third proportional to 8,206.13 and 12,730.69 is: 19,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.13 : 12,730.69 = 12,730.69 : x
  2. Step 2: Convert to fraction form
    8,206.13/12,730.69 = 12,730.69/x
  3. Step 3: Cross multiply
    8,206.13x = 12,730.69 × 12,730.69
  4. Step 4: Simplify right side
    8,206.13x = 162,070,404.22
  5. Step 5: Solve for x
    x = 162,070,404.22/8,206.13
  6. Step 6: Final answer
    x = 19,749.93

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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.