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Finding the Third Proportional to 42,854 and 87,796

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Solution

The third proportional to 42,854 and 87,796 is: 179,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854 : 87,796 = 87,796 : x
  2. Step 2: Convert to fraction form
    42,854/87,796 = 87,796/x
  3. Step 3: Cross multiply
    42,854x = 87,796 × 87,796
  4. Step 4: Simplify right side
    42,854x = 7,708,137,616
  5. Step 5: Solve for x
    x = 7,708,137,616/42,854
  6. Step 6: Final answer
    x = 179,869.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.