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Finding the Third Proportional to 8,778.75 and 18,787.69

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Solution

The third proportional to 8,778.75 and 18,787.69 is: 40,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.75 : 18,787.69 = 18,787.69 : x
  2. Step 2: Convert to fraction form
    8,778.75/18,787.69 = 18,787.69/x
  3. Step 3: Cross multiply
    8,778.75x = 18,787.69 × 18,787.69
  4. Step 4: Simplify right side
    8,778.75x = 352,977,201.60
  5. Step 5: Solve for x
    x = 352,977,201.60/8,778.75
  6. Step 6: Final answer
    x = 40,208.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.