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Finding the Third Proportional to 8,215 and 12,525.75

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Solution

The third proportional to 8,215 and 12,525.75 is: 19,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215 : 12,525.75 = 12,525.75 : x
  2. Step 2: Convert to fraction form
    8,215/12,525.75 = 12,525.75/x
  3. Step 3: Cross multiply
    8,215x = 12,525.75 × 12,525.75
  4. Step 4: Simplify right side
    8,215x = 156,894,413.06
  5. Step 5: Solve for x
    x = 156,894,413.06/8,215
  6. Step 6: Final answer
    x = 19,098.53

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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.