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Finding the Third Proportional to 6,399 and 15,487.88

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Solution

The third proportional to 6,399 and 15,487.88 is: 37,486.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399 : 15,487.88 = 15,487.88 : x
  2. Step 2: Convert to fraction form
    6,399/15,487.88 = 15,487.88/x
  3. Step 3: Cross multiply
    6,399x = 15,487.88 × 15,487.88
  4. Step 4: Simplify right side
    6,399x = 239,874,272.02
  5. Step 5: Solve for x
    x = 239,874,272.02/6,399
  6. Step 6: Final answer
    x = 37,486.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.