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Finding the Third Proportional to 31,209 and 71,621

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Solution

The third proportional to 31,209 and 71,621 is: 164,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209 : 71,621 = 71,621 : x
  2. Step 2: Convert to fraction form
    31,209/71,621 = 71,621/x
  3. Step 3: Cross multiply
    31,209x = 71,621 × 71,621
  4. Step 4: Simplify right side
    31,209x = 5,129,567,641
  5. Step 5: Solve for x
    x = 5,129,567,641/31,209
  6. Step 6: Final answer
    x = 164,361.81

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.