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Finding the Third Proportional to 7,806 and 12,405

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Solution

The third proportional to 7,806 and 12,405 is: 19,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 12,405 = 12,405 : x
  2. Step 2: Convert to fraction form
    7,806/12,405 = 12,405/x
  3. Step 3: Cross multiply
    7,806x = 12,405 × 12,405
  4. Step 4: Simplify right side
    7,806x = 153,884,025
  5. Step 5: Solve for x
    x = 153,884,025/7,806
  6. Step 6: Final answer
    x = 19,713.56

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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.