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Finding the Third Proportional to 5,378.25 and 8,306.25

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Solution

The third proportional to 5,378.25 and 8,306.25 is: 12,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.25 : 8,306.25 = 8,306.25 : x
  2. Step 2: Convert to fraction form
    5,378.25/8,306.25 = 8,306.25/x
  3. Step 3: Cross multiply
    5,378.25x = 8,306.25 × 8,306.25
  4. Step 4: Simplify right side
    5,378.25x = 68,993,789.06
  5. Step 5: Solve for x
    x = 68,993,789.06/5,378.25
  6. Step 6: Final answer
    x = 12,828.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.