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Finding the Third Proportional to 15,781 and 34,844

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Solution

The third proportional to 15,781 and 34,844 is: 76,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781 : 34,844 = 34,844 : x
  2. Step 2: Convert to fraction form
    15,781/34,844 = 34,844/x
  3. Step 3: Cross multiply
    15,781x = 34,844 × 34,844
  4. Step 4: Simplify right side
    15,781x = 1,214,104,336
  5. Step 5: Solve for x
    x = 1,214,104,336/15,781
  6. Step 6: Final answer
    x = 76,934.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.