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Finding the Third Proportional to 633.75 and 976.69

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Solution

The third proportional to 633.75 and 976.69 is: 1,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.75 : 976.69 = 976.69 : x
  2. Step 2: Convert to fraction form
    633.75/976.69 = 976.69/x
  3. Step 3: Cross multiply
    633.75x = 976.69 × 976.69
  4. Step 4: Simplify right side
    633.75x = 953,918.47
  5. Step 5: Solve for x
    x = 953,918.47/633.75
  6. Step 6: Final answer
    x = 1,505.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.