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Finding the Third Proportional to 9,929 and 13,237

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Solution

The third proportional to 9,929 and 13,237 is: 17,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929 : 13,237 = 13,237 : x
  2. Step 2: Convert to fraction form
    9,929/13,237 = 13,237/x
  3. Step 3: Cross multiply
    9,929x = 13,237 × 13,237
  4. Step 4: Simplify right side
    9,929x = 175,218,169
  5. Step 5: Solve for x
    x = 175,218,169/9,929
  6. Step 6: Final answer
    x = 17,647.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.