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Finding the Third Proportional to 3,801 and 8,782.50

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Solution

The third proportional to 3,801 and 8,782.50 is: 20,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801 : 8,782.50 = 8,782.50 : x
  2. Step 2: Convert to fraction form
    3,801/8,782.50 = 8,782.50/x
  3. Step 3: Cross multiply
    3,801x = 8,782.50 × 8,782.50
  4. Step 4: Simplify right side
    3,801x = 77,132,306.25
  5. Step 5: Solve for x
    x = 77,132,306.25/3,801
  6. Step 6: Final answer
    x = 20,292.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.