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Finding the Third Proportional to 705.75 and 1,630.88

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Solution

The third proportional to 705.75 and 1,630.88 is: 3,768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.75 : 1,630.88 = 1,630.88 : x
  2. Step 2: Convert to fraction form
    705.75/1,630.88 = 1,630.88/x
  3. Step 3: Cross multiply
    705.75x = 1,630.88 × 1,630.88
  4. Step 4: Simplify right side
    705.75x = 2,659,753.27
  5. Step 5: Solve for x
    x = 2,659,753.27/705.75
  6. Step 6: Final answer
    x = 3,768.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.