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Finding the Third Proportional to 10,920 and 18,420

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Solution

The third proportional to 10,920 and 18,420 is: 31,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920 : 18,420 = 18,420 : x
  2. Step 2: Convert to fraction form
    10,920/18,420 = 18,420/x
  3. Step 3: Cross multiply
    10,920x = 18,420 × 18,420
  4. Step 4: Simplify right side
    10,920x = 339,296,400
  5. Step 5: Solve for x
    x = 339,296,400/10,920
  6. Step 6: Final answer
    x = 31,071.10

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.