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Finding the Third Proportional to 680 and 981.75

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Solution

The third proportional to 680 and 981.75 is: 1,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 981.75 = 981.75 : x
  2. Step 2: Convert to fraction form
    680/981.75 = 981.75/x
  3. Step 3: Cross multiply
    680x = 981.75 × 981.75
  4. Step 4: Simplify right side
    680x = 963,833.06
  5. Step 5: Solve for x
    x = 963,833.06/680
  6. Step 6: Final answer
    x = 1,417.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.