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Finding the Third Proportional to 698.75 and 1,115.75

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Solution

The third proportional to 698.75 and 1,115.75 is: 1,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.75 : 1,115.75 = 1,115.75 : x
  2. Step 2: Convert to fraction form
    698.75/1,115.75 = 1,115.75/x
  3. Step 3: Cross multiply
    698.75x = 1,115.75 × 1,115.75
  4. Step 4: Simplify right side
    698.75x = 1,244,898.06
  5. Step 5: Solve for x
    x = 1,244,898.06/698.75
  6. Step 6: Final answer
    x = 1,781.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.