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Finding the Third Proportional to 3,660.19 and 7,890.86

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Solution

The third proportional to 3,660.19 and 7,890.86 is: 17,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.19 : 7,890.86 = 7,890.86 : x
  2. Step 2: Convert to fraction form
    3,660.19/7,890.86 = 7,890.86/x
  3. Step 3: Cross multiply
    3,660.19x = 7,890.86 × 7,890.86
  4. Step 4: Simplify right side
    3,660.19x = 62,265,600.03
  5. Step 5: Solve for x
    x = 62,265,600.03/3,660.19
  6. Step 6: Final answer
    x = 17,011.59

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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.