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Finding the Third Proportional to 656.75 and 983.38

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Solution

The third proportional to 656.75 and 983.38 is: 1,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.75 : 983.38 = 983.38 : x
  2. Step 2: Convert to fraction form
    656.75/983.38 = 983.38/x
  3. Step 3: Cross multiply
    656.75x = 983.38 × 983.38
  4. Step 4: Simplify right side
    656.75x = 967,026.39
  5. Step 5: Solve for x
    x = 967,026.39/656.75
  6. Step 6: Final answer
    x = 1,472.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.