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Finding the Third Proportional to 968.75 and 1,121.75

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Solution

The third proportional to 968.75 and 1,121.75 is: 1,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.75 : 1,121.75 = 1,121.75 : x
  2. Step 2: Convert to fraction form
    968.75/1,121.75 = 1,121.75/x
  3. Step 3: Cross multiply
    968.75x = 1,121.75 × 1,121.75
  4. Step 4: Simplify right side
    968.75x = 1,258,323.06
  5. Step 5: Solve for x
    x = 1,258,323.06/968.75
  6. Step 6: Final answer
    x = 1,298.91

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.