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Finding the Third Proportional to 7,920 and 17,237

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Solution

The third proportional to 7,920 and 17,237 is: 37,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920 : 17,237 = 17,237 : x
  2. Step 2: Convert to fraction form
    7,920/17,237 = 17,237/x
  3. Step 3: Cross multiply
    7,920x = 17,237 × 17,237
  4. Step 4: Simplify right side
    7,920x = 297,114,169
  5. Step 5: Solve for x
    x = 297,114,169/7,920
  6. Step 6: Final answer
    x = 37,514.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.