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Finding the Third Proportional to 207,940 and 334,878

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Solution

The third proportional to 207,940 and 334,878 is: 539,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,940 : 334,878 = 334,878 : x
  2. Step 2: Convert to fraction form
    207,940/334,878 = 334,878/x
  3. Step 3: Cross multiply
    207,940x = 334,878 × 334,878
  4. Step 4: Simplify right side
    207,940x = 112,143,274,884
  5. Step 5: Solve for x
    x = 112,143,274,884/207,940
  6. Step 6: Final answer
    x = 539,305.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.