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Finding the Third Proportional to 31,717 and 49,391

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Solution

The third proportional to 31,717 and 49,391 is: 76,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,717 : 49,391 = 49,391 : x
  2. Step 2: Convert to fraction form
    31,717/49,391 = 49,391/x
  3. Step 3: Cross multiply
    31,717x = 49,391 × 49,391
  4. Step 4: Simplify right side
    31,717x = 2,439,470,881
  5. Step 5: Solve for x
    x = 2,439,470,881/31,717
  6. Step 6: Final answer
    x = 76,913.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.