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Finding the Third Proportional to 71,886 and 156,368

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Solution

The third proportional to 71,886 and 156,368 is: 340,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,886 : 156,368 = 156,368 : x
  2. Step 2: Convert to fraction form
    71,886/156,368 = 156,368/x
  3. Step 3: Cross multiply
    71,886x = 156,368 × 156,368
  4. Step 4: Simplify right side
    71,886x = 24,450,951,424
  5. Step 5: Solve for x
    x = 24,450,951,424/71,886
  6. Step 6: Final answer
    x = 340,135.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.