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Finding the Third Proportional to 31,461 and 48,285

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Solution

The third proportional to 31,461 and 48,285 is: 74,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461 : 48,285 = 48,285 : x
  2. Step 2: Convert to fraction form
    31,461/48,285 = 48,285/x
  3. Step 3: Cross multiply
    31,461x = 48,285 × 48,285
  4. Step 4: Simplify right side
    31,461x = 2,331,441,225
  5. Step 5: Solve for x
    x = 2,331,441,225/31,461
  6. Step 6: Final answer
    x = 74,105.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.