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Finding the Third Proportional to 354,210 and 764,394

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Solution

The third proportional to 354,210 and 764,394 is: 1,649,581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,210 : 764,394 = 764,394 : x
  2. Step 2: Convert to fraction form
    354,210/764,394 = 764,394/x
  3. Step 3: Cross multiply
    354,210x = 764,394 × 764,394
  4. Step 4: Simplify right side
    354,210x = 584,298,187,236
  5. Step 5: Solve for x
    x = 584,298,187,236/354,210
  6. Step 6: Final answer
    x = 1,649,581.29

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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.