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Finding the Third Proportional to 31,237 and 48,947

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Solution

The third proportional to 31,237 and 48,947 is: 76,697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237 : 48,947 = 48,947 : x
  2. Step 2: Convert to fraction form
    31,237/48,947 = 48,947/x
  3. Step 3: Cross multiply
    31,237x = 48,947 × 48,947
  4. Step 4: Simplify right side
    31,237x = 2,395,808,809
  5. Step 5: Solve for x
    x = 2,395,808,809/31,237
  6. Step 6: Final answer
    x = 76,697.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.