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Finding the Third Proportional to 707.64 and 1,517.80

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Solution

The third proportional to 707.64 and 1,517.80 is: 3,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.64 : 1,517.80 = 1,517.80 : x
  2. Step 2: Convert to fraction form
    707.64/1,517.80 = 1,517.80/x
  3. Step 3: Cross multiply
    707.64x = 1,517.80 × 1,517.80
  4. Step 4: Simplify right side
    707.64x = 2,303,719.21
  5. Step 5: Solve for x
    x = 2,303,719.21/707.64
  6. Step 6: Final answer
    x = 3,255.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.