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Finding the Third Proportional to 625.50 and 976.38

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Solution

The third proportional to 625.50 and 976.38 is: 1,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.50 : 976.38 = 976.38 : x
  2. Step 2: Convert to fraction form
    625.50/976.38 = 976.38/x
  3. Step 3: Cross multiply
    625.50x = 976.38 × 976.38
  4. Step 4: Simplify right side
    625.50x = 953,308.14
  5. Step 5: Solve for x
    x = 953,308.14/625.50
  6. Step 6: Final answer
    x = 1,524.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.