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Finding the Third Proportional to 9,138 and 13,709

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Solution

The third proportional to 9,138 and 13,709 is: 20,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138 : 13,709 = 13,709 : x
  2. Step 2: Convert to fraction form
    9,138/13,709 = 13,709/x
  3. Step 3: Cross multiply
    9,138x = 13,709 × 13,709
  4. Step 4: Simplify right side
    9,138x = 187,936,681
  5. Step 5: Solve for x
    x = 187,936,681/9,138
  6. Step 6: Final answer
    x = 20,566.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.