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Finding the Third Proportional to 21,561 and 46,920

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Solution

The third proportional to 21,561 and 46,920 is: 102,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,561 : 46,920 = 46,920 : x
  2. Step 2: Convert to fraction form
    21,561/46,920 = 46,920/x
  3. Step 3: Cross multiply
    21,561x = 46,920 × 46,920
  4. Step 4: Simplify right side
    21,561x = 2,201,486,400
  5. Step 5: Solve for x
    x = 2,201,486,400/21,561
  6. Step 6: Final answer
    x = 102,105.02

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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.