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Finding the Third Proportional to 7,806.38 and 12,207.38

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Solution

The third proportional to 7,806.38 and 12,207.38 is: 19,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.38 : 12,207.38 = 12,207.38 : x
  2. Step 2: Convert to fraction form
    7,806.38/12,207.38 = 12,207.38/x
  3. Step 3: Cross multiply
    7,806.38x = 12,207.38 × 12,207.38
  4. Step 4: Simplify right side
    7,806.38x = 149,020,004.39
  5. Step 5: Solve for x
    x = 149,020,004.39/7,806.38
  6. Step 6: Final answer
    x = 19,089.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.