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Finding the Third Proportional to 312,134 and 673,434

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Solution

The third proportional to 312,134 and 673,434 is: 1,452,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,134 : 673,434 = 673,434 : x
  2. Step 2: Convert to fraction form
    312,134/673,434 = 673,434/x
  3. Step 3: Cross multiply
    312,134x = 673,434 × 673,434
  4. Step 4: Simplify right side
    312,134x = 453,513,352,356
  5. Step 5: Solve for x
    x = 453,513,352,356/312,134
  6. Step 6: Final answer
    x = 1,452,944.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.