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Finding the Third Proportional to 7,745.50 and 12,309

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Solution

The third proportional to 7,745.50 and 12,309 is: 19,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.50 : 12,309 = 12,309 : x
  2. Step 2: Convert to fraction form
    7,745.50/12,309 = 12,309/x
  3. Step 3: Cross multiply
    7,745.50x = 12,309 × 12,309
  4. Step 4: Simplify right side
    7,745.50x = 151,511,481
  5. Step 5: Solve for x
    x = 151,511,481/7,745.50
  6. Step 6: Final answer
    x = 19,561.23

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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.