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Finding the Third Proportional to 7,201.88 and 9,686.81

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Solution

The third proportional to 7,201.88 and 9,686.81 is: 13,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.88 : 9,686.81 = 9,686.81 : x
  2. Step 2: Convert to fraction form
    7,201.88/9,686.81 = 9,686.81/x
  3. Step 3: Cross multiply
    7,201.88x = 9,686.81 × 9,686.81
  4. Step 4: Simplify right side
    7,201.88x = 93,834,336.41
  5. Step 5: Solve for x
    x = 93,834,336.41/7,201.88
  6. Step 6: Final answer
    x = 13,029.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.