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Finding the Third Proportional to 31,139 and 48,349

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Solution

The third proportional to 31,139 and 48,349 is: 75,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,139 : 48,349 = 48,349 : x
  2. Step 2: Convert to fraction form
    31,139/48,349 = 48,349/x
  3. Step 3: Cross multiply
    31,139x = 48,349 × 48,349
  4. Step 4: Simplify right side
    31,139x = 2,337,625,801
  5. Step 5: Solve for x
    x = 2,337,625,801/31,139
  6. Step 6: Final answer
    x = 75,070.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.