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Finding the Third Proportional to 7,187.48 and 8,508.80

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Solution

The third proportional to 7,187.48 and 8,508.80 is: 10,073.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.48 : 8,508.80 = 8,508.80 : x
  2. Step 2: Convert to fraction form
    7,187.48/8,508.80 = 8,508.80/x
  3. Step 3: Cross multiply
    7,187.48x = 8,508.80 × 8,508.80
  4. Step 4: Simplify right side
    7,187.48x = 72,399,624.26
  5. Step 5: Solve for x
    x = 72,399,624.26/7,187.48
  6. Step 6: Final answer
    x = 10,073.01

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.