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Finding the Third Proportional to 7,677.50 and 12,240.75

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Solution

The third proportional to 7,677.50 and 12,240.75 is: 19,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.50 : 12,240.75 = 12,240.75 : x
  2. Step 2: Convert to fraction form
    7,677.50/12,240.75 = 12,240.75/x
  3. Step 3: Cross multiply
    7,677.50x = 12,240.75 × 12,240.75
  4. Step 4: Simplify right side
    7,677.50x = 149,835,960.56
  5. Step 5: Solve for x
    x = 149,835,960.56/7,677.50
  6. Step 6: Final answer
    x = 19,516.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.