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Finding the Third Proportional to 3,160.69 and 3,717.56

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Solution

The third proportional to 3,160.69 and 3,717.56 is: 4,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.69 : 3,717.56 = 3,717.56 : x
  2. Step 2: Convert to fraction form
    3,160.69/3,717.56 = 3,717.56/x
  3. Step 3: Cross multiply
    3,160.69x = 3,717.56 × 3,717.56
  4. Step 4: Simplify right side
    3,160.69x = 13,820,270.94
  5. Step 5: Solve for x
    x = 13,820,270.94/3,160.69
  6. Step 6: Final answer
    x = 4,372.55

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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.