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Finding the Third Proportional to 41,721 and 64,689

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Solution

The third proportional to 41,721 and 64,689 is: 100,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,721 : 64,689 = 64,689 : x
  2. Step 2: Convert to fraction form
    41,721/64,689 = 64,689/x
  3. Step 3: Cross multiply
    41,721x = 64,689 × 64,689
  4. Step 4: Simplify right side
    41,721x = 4,184,666,721
  5. Step 5: Solve for x
    x = 4,184,666,721/41,721
  6. Step 6: Final answer
    x = 100,301.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.