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Finding the Third Proportional to 21,640 and 47,282

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Solution

The third proportional to 21,640 and 47,282 is: 103,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640 : 47,282 = 47,282 : x
  2. Step 2: Convert to fraction form
    21,640/47,282 = 47,282/x
  3. Step 3: Cross multiply
    21,640x = 47,282 × 47,282
  4. Step 4: Simplify right side
    21,640x = 2,235,587,524
  5. Step 5: Solve for x
    x = 2,235,587,524/21,640
  6. Step 6: Final answer
    x = 103,308.11

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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.