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Finding the Third Proportional to 31,370 and 75,869

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Solution

The third proportional to 31,370 and 75,869 is: 183,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370 : 75,869 = 75,869 : x
  2. Step 2: Convert to fraction form
    31,370/75,869 = 75,869/x
  3. Step 3: Cross multiply
    31,370x = 75,869 × 75,869
  4. Step 4: Simplify right side
    31,370x = 5,756,105,161
  5. Step 5: Solve for x
    x = 5,756,105,161/31,370
  6. Step 6: Final answer
    x = 183,490.76

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.