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Finding the Third Proportional to 19,420 and 41,380

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Solution

The third proportional to 19,420 and 41,380 is: 88,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,420 : 41,380 = 41,380 : x
  2. Step 2: Convert to fraction form
    19,420/41,380 = 41,380/x
  3. Step 3: Cross multiply
    19,420x = 41,380 × 41,380
  4. Step 4: Simplify right side
    19,420x = 1,712,304,400
  5. Step 5: Solve for x
    x = 1,712,304,400/19,420
  6. Step 6: Final answer
    x = 88,172.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.