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Finding the Third Proportional to 5,206.50 and 9,405

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Solution

The third proportional to 5,206.50 and 9,405 is: 16,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.50 : 9,405 = 9,405 : x
  2. Step 2: Convert to fraction form
    5,206.50/9,405 = 9,405/x
  3. Step 3: Cross multiply
    5,206.50x = 9,405 × 9,405
  4. Step 4: Simplify right side
    5,206.50x = 88,454,025
  5. Step 5: Solve for x
    x = 88,454,025/5,206.50
  6. Step 6: Final answer
    x = 16,989.15

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.