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Finding the Third Proportional to 407,225 and 825,394

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Solution

The third proportional to 407,225 and 825,394 is: 1,672,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,225 : 825,394 = 825,394 : x
  2. Step 2: Convert to fraction form
    407,225/825,394 = 825,394/x
  3. Step 3: Cross multiply
    407,225x = 825,394 × 825,394
  4. Step 4: Simplify right side
    407,225x = 681,275,255,236
  5. Step 5: Solve for x
    x = 681,275,255,236/407,225
  6. Step 6: Final answer
    x = 1,672,970.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.