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Finding the Third Proportional to 5,683.50 and 6,625.13

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Solution

The third proportional to 5,683.50 and 6,625.13 is: 7,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.50 : 6,625.13 = 6,625.13 : x
  2. Step 2: Convert to fraction form
    5,683.50/6,625.13 = 6,625.13/x
  3. Step 3: Cross multiply
    5,683.50x = 6,625.13 × 6,625.13
  4. Step 4: Simplify right side
    5,683.50x = 43,892,281.27
  5. Step 5: Solve for x
    x = 43,892,281.27/5,683.50
  6. Step 6: Final answer
    x = 7,722.76

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.