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Finding the Third Proportional to 5,125.36 and 6,549.19

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Solution

The third proportional to 5,125.36 and 6,549.19 is: 8,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.36 : 6,549.19 = 6,549.19 : x
  2. Step 2: Convert to fraction form
    5,125.36/6,549.19 = 6,549.19/x
  3. Step 3: Cross multiply
    5,125.36x = 6,549.19 × 6,549.19
  4. Step 4: Simplify right side
    5,125.36x = 42,891,856.91
  5. Step 5: Solve for x
    x = 42,891,856.91/5,125.36
  6. Step 6: Final answer
    x = 8,368.56

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.