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Finding the Third Proportional to 31,218 and 67,425

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Solution

The third proportional to 31,218 and 67,425 is: 145,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,218 : 67,425 = 67,425 : x
  2. Step 2: Convert to fraction form
    31,218/67,425 = 67,425/x
  3. Step 3: Cross multiply
    31,218x = 67,425 × 67,425
  4. Step 4: Simplify right side
    31,218x = 4,546,130,625
  5. Step 5: Solve for x
    x = 4,546,130,625/31,218
  6. Step 6: Final answer
    x = 145,625.30

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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.