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Finding the Third Proportional to 680.06 and 988.31

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Solution

The third proportional to 680.06 and 988.31 is: 1,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.06 : 988.31 = 988.31 : x
  2. Step 2: Convert to fraction form
    680.06/988.31 = 988.31/x
  3. Step 3: Cross multiply
    680.06x = 988.31 × 988.31
  4. Step 4: Simplify right side
    680.06x = 976,761.60
  5. Step 5: Solve for x
    x = 976,761.60/680.06
  6. Step 6: Final answer
    x = 1,436.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.