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Finding the Third Proportional to 3,657.66 and 7,978.92

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Solution

The third proportional to 3,657.66 and 7,978.92 is: 17,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.66 : 7,978.92 = 7,978.92 : x
  2. Step 2: Convert to fraction form
    3,657.66/7,978.92 = 7,978.92/x
  3. Step 3: Cross multiply
    3,657.66x = 7,978.92 × 7,978.92
  4. Step 4: Simplify right side
    3,657.66x = 63,663,194.29
  5. Step 5: Solve for x
    x = 63,663,194.29/3,657.66
  6. Step 6: Final answer
    x = 17,405.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.