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Finding the Third Proportional to 3,782.06 and 8,315.06

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Solution

The third proportional to 3,782.06 and 8,315.06 is: 18,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.06 : 8,315.06 = 8,315.06 : x
  2. Step 2: Convert to fraction form
    3,782.06/8,315.06 = 8,315.06/x
  3. Step 3: Cross multiply
    3,782.06x = 8,315.06 × 8,315.06
  4. Step 4: Simplify right side
    3,782.06x = 69,140,264.38
  5. Step 5: Solve for x
    x = 69,140,264.38/3,782.06
  6. Step 6: Final answer
    x = 18,281.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.