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Finding the Third Proportional to 706.32 and 1,515.16

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Solution

The third proportional to 706.32 and 1,515.16 is: 3,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.32 : 1,515.16 = 1,515.16 : x
  2. Step 2: Convert to fraction form
    706.32/1,515.16 = 1,515.16/x
  3. Step 3: Cross multiply
    706.32x = 1,515.16 × 1,515.16
  4. Step 4: Simplify right side
    706.32x = 2,295,722.14
  5. Step 5: Solve for x
    x = 2,295,722.14/706.32
  6. Step 6: Final answer
    x = 3,250.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.