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Finding the Third Proportional to 10,380 and 22,420

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Solution

The third proportional to 10,380 and 22,420 is: 48,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380 : 22,420 = 22,420 : x
  2. Step 2: Convert to fraction form
    10,380/22,420 = 22,420/x
  3. Step 3: Cross multiply
    10,380x = 22,420 × 22,420
  4. Step 4: Simplify right side
    10,380x = 502,656,400
  5. Step 5: Solve for x
    x = 502,656,400/10,380
  6. Step 6: Final answer
    x = 48,425.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.