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Finding the Third Proportional to 625.13 and 900.38

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Solution

The third proportional to 625.13 and 900.38 is: 1,296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.13 : 900.38 = 900.38 : x
  2. Step 2: Convert to fraction form
    625.13/900.38 = 900.38/x
  3. Step 3: Cross multiply
    625.13x = 900.38 × 900.38
  4. Step 4: Simplify right side
    625.13x = 810,675.14
  5. Step 5: Solve for x
    x = 810,675.14/625.13
  6. Step 6: Final answer
    x = 1,296.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.