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Finding the Third Proportional to 203,880 and 314,725

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Solution

The third proportional to 203,880 and 314,725 is: 485,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,880 : 314,725 = 314,725 : x
  2. Step 2: Convert to fraction form
    203,880/314,725 = 314,725/x
  3. Step 3: Cross multiply
    203,880x = 314,725 × 314,725
  4. Step 4: Simplify right side
    203,880x = 99,051,825,625
  5. Step 5: Solve for x
    x = 99,051,825,625/203,880
  6. Step 6: Final answer
    x = 485,833.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.