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Finding the Third Proportional to 31,257 and 67,423

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Solution

The third proportional to 31,257 and 67,423 is: 145,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257 : 67,423 = 67,423 : x
  2. Step 2: Convert to fraction form
    31,257/67,423 = 67,423/x
  3. Step 3: Cross multiply
    31,257x = 67,423 × 67,423
  4. Step 4: Simplify right side
    31,257x = 4,545,860,929
  5. Step 5: Solve for x
    x = 4,545,860,929/31,257
  6. Step 6: Final answer
    x = 145,434.97

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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.