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Finding the Third Proportional to 31,604.25 and 67,899

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Solution

The third proportional to 31,604.25 and 67,899 is: 145,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.25 : 67,899 = 67,899 : x
  2. Step 2: Convert to fraction form
    31,604.25/67,899 = 67,899/x
  3. Step 3: Cross multiply
    31,604.25x = 67,899 × 67,899
  4. Step 4: Simplify right side
    31,604.25x = 4,610,274,201
  5. Step 5: Solve for x
    x = 4,610,274,201/31,604.25
  6. Step 6: Final answer
    x = 145,875.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.