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Finding the Third Proportional to 3,335.38 and 7,720.81

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Solution

The third proportional to 3,335.38 and 7,720.81 is: 17,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.38 : 7,720.81 = 7,720.81 : x
  2. Step 2: Convert to fraction form
    3,335.38/7,720.81 = 7,720.81/x
  3. Step 3: Cross multiply
    3,335.38x = 7,720.81 × 7,720.81
  4. Step 4: Simplify right side
    3,335.38x = 59,610,945.66
  5. Step 5: Solve for x
    x = 59,610,945.66/3,335.38
  6. Step 6: Final answer
    x = 17,872.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.