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Finding the Third Proportional to 315,844 and 434,214

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Solution

The third proportional to 315,844 and 434,214 is: 596,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,844 : 434,214 = 434,214 : x
  2. Step 2: Convert to fraction form
    315,844/434,214 = 434,214/x
  3. Step 3: Cross multiply
    315,844x = 434,214 × 434,214
  4. Step 4: Simplify right side
    315,844x = 188,541,797,796
  5. Step 5: Solve for x
    x = 188,541,797,796/315,844
  6. Step 6: Final answer
    x = 596,945.95

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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.