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Finding the Third Proportional to 8,218 and 12,531.75

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Solution

The third proportional to 8,218 and 12,531.75 is: 19,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218 : 12,531.75 = 12,531.75 : x
  2. Step 2: Convert to fraction form
    8,218/12,531.75 = 12,531.75/x
  3. Step 3: Cross multiply
    8,218x = 12,531.75 × 12,531.75
  4. Step 4: Simplify right side
    8,218x = 157,044,758.06
  5. Step 5: Solve for x
    x = 157,044,758.06/8,218
  6. Step 6: Final answer
    x = 19,109.85

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1.5x scale

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.