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Finding the Third Proportional to 134,908 and 209,816

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Solution

The third proportional to 134,908 and 209,816 is: 326,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,908 : 209,816 = 209,816 : x
  2. Step 2: Convert to fraction form
    134,908/209,816 = 209,816/x
  3. Step 3: Cross multiply
    134,908x = 209,816 × 209,816
  4. Step 4: Simplify right side
    134,908x = 44,022,753,856
  5. Step 5: Solve for x
    x = 44,022,753,856/134,908
  6. Step 6: Final answer
    x = 326,316.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.