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Finding the Third Proportional to 7,974 and 12,208.50

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Solution

The third proportional to 7,974 and 12,208.50 is: 18,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974 : 12,208.50 = 12,208.50 : x
  2. Step 2: Convert to fraction form
    7,974/12,208.50 = 12,208.50/x
  3. Step 3: Cross multiply
    7,974x = 12,208.50 × 12,208.50
  4. Step 4: Simplify right side
    7,974x = 149,047,472.25
  5. Step 5: Solve for x
    x = 149,047,472.25/7,974
  6. Step 6: Final answer
    x = 18,691.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.