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Finding the Third Proportional to 21,775 and 47,702

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Solution

The third proportional to 21,775 and 47,702 is: 104,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775 : 47,702 = 47,702 : x
  2. Step 2: Convert to fraction form
    21,775/47,702 = 47,702/x
  3. Step 3: Cross multiply
    21,775x = 47,702 × 47,702
  4. Step 4: Simplify right side
    21,775x = 2,275,480,804
  5. Step 5: Solve for x
    x = 2,275,480,804/21,775
  6. Step 6: Final answer
    x = 104,499.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.