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Finding the Third Proportional to 8,790 and 12,854.25

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Solution

The third proportional to 8,790 and 12,854.25 is: 18,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,790 : 12,854.25 = 12,854.25 : x
  2. Step 2: Convert to fraction form
    8,790/12,854.25 = 12,854.25/x
  3. Step 3: Cross multiply
    8,790x = 12,854.25 × 12,854.25
  4. Step 4: Simplify right side
    8,790x = 165,231,743.06
  5. Step 5: Solve for x
    x = 165,231,743.06/8,790
  6. Step 6: Final answer
    x = 18,797.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.