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Finding the Third Proportional to 5,497.50 and 10,719.75

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Solution

The third proportional to 5,497.50 and 10,719.75 is: 20,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.50 : 10,719.75 = 10,719.75 : x
  2. Step 2: Convert to fraction form
    5,497.50/10,719.75 = 10,719.75/x
  3. Step 3: Cross multiply
    5,497.50x = 10,719.75 × 10,719.75
  4. Step 4: Simplify right side
    5,497.50x = 114,913,040.06
  5. Step 5: Solve for x
    x = 114,913,040.06/5,497.50
  6. Step 6: Final answer
    x = 20,902.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.