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Finding the Third Proportional to 5,125.78 and 8,326.55

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Solution

The third proportional to 5,125.78 and 8,326.55 is: 13,526.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 8,326.55 = 8,326.55 : x
  2. Step 2: Convert to fraction form
    5,125.78/8,326.55 = 8,326.55/x
  3. Step 3: Cross multiply
    5,125.78x = 8,326.55 × 8,326.55
  4. Step 4: Simplify right side
    5,125.78x = 69,331,382.86
  5. Step 5: Solve for x
    x = 69,331,382.86/5,125.78
  6. Step 6: Final answer
    x = 13,526.01

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.