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Finding the Third Proportional to 31,221 and 67,431

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Solution

The third proportional to 31,221 and 67,431 is: 145,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,221 : 67,431 = 67,431 : x
  2. Step 2: Convert to fraction form
    31,221/67,431 = 67,431/x
  3. Step 3: Cross multiply
    31,221x = 67,431 × 67,431
  4. Step 4: Simplify right side
    31,221x = 4,546,939,761
  5. Step 5: Solve for x
    x = 4,546,939,761/31,221
  6. Step 6: Final answer
    x = 145,637.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.