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Finding the Third Proportional to 2,920.25 and 4,534.38

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Solution

The third proportional to 2,920.25 and 4,534.38 is: 7,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.25 : 4,534.38 = 4,534.38 : x
  2. Step 2: Convert to fraction form
    2,920.25/4,534.38 = 4,534.38/x
  3. Step 3: Cross multiply
    2,920.25x = 4,534.38 × 4,534.38
  4. Step 4: Simplify right side
    2,920.25x = 20,560,556.64
  5. Step 5: Solve for x
    x = 20,560,556.64/2,920.25
  6. Step 6: Final answer
    x = 7,040.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.