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Finding the Third Proportional to 3,508.88 and 7,580.81

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Solution

The third proportional to 3,508.88 and 7,580.81 is: 16,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.88 : 7,580.81 = 7,580.81 : x
  2. Step 2: Convert to fraction form
    3,508.88/7,580.81 = 7,580.81/x
  3. Step 3: Cross multiply
    3,508.88x = 7,580.81 × 7,580.81
  4. Step 4: Simplify right side
    3,508.88x = 57,468,718.16
  5. Step 5: Solve for x
    x = 57,468,718.16/3,508.88
  6. Step 6: Final answer
    x = 16,378.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.