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Finding the Third Proportional to 8,338.89 and 12,986.74

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Solution

The third proportional to 8,338.89 and 12,986.74 is: 20,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.89 : 12,986.74 = 12,986.74 : x
  2. Step 2: Convert to fraction form
    8,338.89/12,986.74 = 12,986.74/x
  3. Step 3: Cross multiply
    8,338.89x = 12,986.74 × 12,986.74
  4. Step 4: Simplify right side
    8,338.89x = 168,655,320.46
  5. Step 5: Solve for x
    x = 168,655,320.46/8,338.89
  6. Step 6: Final answer
    x = 20,225.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.