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Finding the Third Proportional to 317,156 and 434,914

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Solution

The third proportional to 317,156 and 434,914 is: 596,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,156 : 434,914 = 434,914 : x
  2. Step 2: Convert to fraction form
    317,156/434,914 = 434,914/x
  3. Step 3: Cross multiply
    317,156x = 434,914 × 434,914
  4. Step 4: Simplify right side
    317,156x = 189,150,187,396
  5. Step 5: Solve for x
    x = 189,150,187,396/317,156
  6. Step 6: Final answer
    x = 596,394.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.