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Finding the Third Proportional to 708.19 and 1,084.78

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Solution

The third proportional to 708.19 and 1,084.78 is: 1,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.19 : 1,084.78 = 1,084.78 : x
  2. Step 2: Convert to fraction form
    708.19/1,084.78 = 1,084.78/x
  3. Step 3: Cross multiply
    708.19x = 1,084.78 × 1,084.78
  4. Step 4: Simplify right side
    708.19x = 1,176,750.36
  5. Step 5: Solve for x
    x = 1,176,750.36/708.19
  6. Step 6: Final answer
    x = 1,661.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.