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Finding the Third Proportional to 713.81 and 1,661.34

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Solution

The third proportional to 713.81 and 1,661.34 is: 3,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 1,661.34 = 1,661.34 : x
  2. Step 2: Convert to fraction form
    713.81/1,661.34 = 1,661.34/x
  3. Step 3: Cross multiply
    713.81x = 1,661.34 × 1,661.34
  4. Step 4: Simplify right side
    713.81x = 2,760,063.06
  5. Step 5: Solve for x
    x = 2,760,063.06/713.81
  6. Step 6: Final answer
    x = 3,866.65

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.