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Finding the Third Proportional to 9,678 and 15,399

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Solution

The third proportional to 9,678 and 15,399 is: 24,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 15,399 = 15,399 : x
  2. Step 2: Convert to fraction form
    9,678/15,399 = 15,399/x
  3. Step 3: Cross multiply
    9,678x = 15,399 × 15,399
  4. Step 4: Simplify right side
    9,678x = 237,129,201
  5. Step 5: Solve for x
    x = 237,129,201/9,678
  6. Step 6: Final answer
    x = 24,501.88

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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.