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Finding the Third Proportional to 3,160.69 and 3,434.06

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Solution

The third proportional to 3,160.69 and 3,434.06 is: 3,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.69 : 3,434.06 = 3,434.06 : x
  2. Step 2: Convert to fraction form
    3,160.69/3,434.06 = 3,434.06/x
  3. Step 3: Cross multiply
    3,160.69x = 3,434.06 × 3,434.06
  4. Step 4: Simplify right side
    3,160.69x = 11,792,785.25
  5. Step 5: Solve for x
    x = 11,792,785.25/3,160.69
  6. Step 6: Final answer
    x = 3,731.08

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.