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Finding the Third Proportional to 6,321.80 and 12,637.90

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Solution

The third proportional to 6,321.80 and 12,637.90 is: 25,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.80 : 12,637.90 = 12,637.90 : x
  2. Step 2: Convert to fraction form
    6,321.80/12,637.90 = 12,637.90/x
  3. Step 3: Cross multiply
    6,321.80x = 12,637.90 × 12,637.90
  4. Step 4: Simplify right side
    6,321.80x = 159,716,476.92
  5. Step 5: Solve for x
    x = 159,716,476.92/6,321.80
  6. Step 6: Final answer
    x = 25,264.41

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.