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Finding the Third Proportional to 5,056.50 and 7,794

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Solution

The third proportional to 5,056.50 and 7,794 is: 12,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.50 : 7,794 = 7,794 : x
  2. Step 2: Convert to fraction form
    5,056.50/7,794 = 7,794/x
  3. Step 3: Cross multiply
    5,056.50x = 7,794 × 7,794
  4. Step 4: Simplify right side
    5,056.50x = 60,746,436
  5. Step 5: Solve for x
    x = 60,746,436/5,056.50
  6. Step 6: Final answer
    x = 12,013.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.