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Finding the Third Proportional to 67,074 and 145,796

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Solution

The third proportional to 67,074 and 145,796 is: 316,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,074 : 145,796 = 145,796 : x
  2. Step 2: Convert to fraction form
    67,074/145,796 = 145,796/x
  3. Step 3: Cross multiply
    67,074x = 145,796 × 145,796
  4. Step 4: Simplify right side
    67,074x = 21,256,473,616
  5. Step 5: Solve for x
    x = 21,256,473,616/67,074
  6. Step 6: Final answer
    x = 316,910.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.