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Finding the Third Proportional to 625.78 and 953.44

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Solution

The third proportional to 625.78 and 953.44 is: 1,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.78 : 953.44 = 953.44 : x
  2. Step 2: Convert to fraction form
    625.78/953.44 = 953.44/x
  3. Step 3: Cross multiply
    625.78x = 953.44 × 953.44
  4. Step 4: Simplify right side
    625.78x = 909,043.07
  5. Step 5: Solve for x
    x = 909,043.07/625.78
  6. Step 6: Final answer
    x = 1,452.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.