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Finding the Third Proportional to 20,220 and 46,721

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Solution

The third proportional to 20,220 and 46,721 is: 107,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,220 : 46,721 = 46,721 : x
  2. Step 2: Convert to fraction form
    20,220/46,721 = 46,721/x
  3. Step 3: Cross multiply
    20,220x = 46,721 × 46,721
  4. Step 4: Simplify right side
    20,220x = 2,182,851,841
  5. Step 5: Solve for x
    x = 2,182,851,841/20,220
  6. Step 6: Final answer
    x = 107,955.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.