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Finding the Third Proportional to 7,920 and 17,310

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Solution

The third proportional to 7,920 and 17,310 is: 37,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920 : 17,310 = 17,310 : x
  2. Step 2: Convert to fraction form
    7,920/17,310 = 17,310/x
  3. Step 3: Cross multiply
    7,920x = 17,310 × 17,310
  4. Step 4: Simplify right side
    7,920x = 299,636,100
  5. Step 5: Solve for x
    x = 299,636,100/7,920
  6. Step 6: Final answer
    x = 37,832.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.