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Finding the Third Proportional to 31,426 and 68,252

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Solution

The third proportional to 31,426 and 68,252 is: 148,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,426 : 68,252 = 68,252 : x
  2. Step 2: Convert to fraction form
    31,426/68,252 = 68,252/x
  3. Step 3: Cross multiply
    31,426x = 68,252 × 68,252
  4. Step 4: Simplify right side
    31,426x = 4,658,335,504
  5. Step 5: Solve for x
    x = 4,658,335,504/31,426
  6. Step 6: Final answer
    x = 148,231.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.