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Finding the Third Proportional to 6,291 and 15,420.38

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Solution

The third proportional to 6,291 and 15,420.38 is: 37,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291 : 15,420.38 = 15,420.38 : x
  2. Step 2: Convert to fraction form
    6,291/15,420.38 = 15,420.38/x
  3. Step 3: Cross multiply
    6,291x = 15,420.38 × 15,420.38
  4. Step 4: Simplify right side
    6,291x = 237,787,965.14
  5. Step 5: Solve for x
    x = 237,787,965.14/6,291
  6. Step 6: Final answer
    x = 37,798.12

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.