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Finding the Third Proportional to 8,782.88 and 13,354.88

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Solution

The third proportional to 8,782.88 and 13,354.88 is: 20,306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.88 : 13,354.88 = 13,354.88 : x
  2. Step 2: Convert to fraction form
    8,782.88/13,354.88 = 13,354.88/x
  3. Step 3: Cross multiply
    8,782.88x = 13,354.88 × 13,354.88
  4. Step 4: Simplify right side
    8,782.88x = 178,352,686.27
  5. Step 5: Solve for x
    x = 178,352,686.27/8,782.88
  6. Step 6: Final answer
    x = 20,306.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.