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Finding the Third Proportional to 21,970 and 47,270

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Solution

The third proportional to 21,970 and 47,270 is: 101,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970 : 47,270 = 47,270 : x
  2. Step 2: Convert to fraction form
    21,970/47,270 = 47,270/x
  3. Step 3: Cross multiply
    21,970x = 47,270 × 47,270
  4. Step 4: Simplify right side
    21,970x = 2,234,452,900
  5. Step 5: Solve for x
    x = 2,234,452,900/21,970
  6. Step 6: Final answer
    x = 101,704.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.