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Finding the Third Proportional to 6,106.50 and 10,940

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Solution

The third proportional to 6,106.50 and 10,940 is: 19,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.50 : 10,940 = 10,940 : x
  2. Step 2: Convert to fraction form
    6,106.50/10,940 = 10,940/x
  3. Step 3: Cross multiply
    6,106.50x = 10,940 × 10,940
  4. Step 4: Simplify right side
    6,106.50x = 119,683,600
  5. Step 5: Solve for x
    x = 119,683,600/6,106.50
  6. Step 6: Final answer
    x = 19,599.38

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.