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Finding the Third Proportional to 5,277.38 and 8,240.63

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Solution

The third proportional to 5,277.38 and 8,240.63 is: 12,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.38 : 8,240.63 = 8,240.63 : x
  2. Step 2: Convert to fraction form
    5,277.38/8,240.63 = 8,240.63/x
  3. Step 3: Cross multiply
    5,277.38x = 8,240.63 × 8,240.63
  4. Step 4: Simplify right side
    5,277.38x = 67,907,900.39
  5. Step 5: Solve for x
    x = 67,907,900.39/5,277.38
  6. Step 6: Final answer
    x = 12,867.74

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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.