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Finding the Third Proportional to 407,229 and 825,402

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Solution

The third proportional to 407,229 and 825,402 is: 1,672,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,229 : 825,402 = 825,402 : x
  2. Step 2: Convert to fraction form
    407,229/825,402 = 825,402/x
  3. Step 3: Cross multiply
    407,229x = 825,402 × 825,402
  4. Step 4: Simplify right side
    407,229x = 681,288,461,604
  5. Step 5: Solve for x
    x = 681,288,461,604/407,229
  6. Step 6: Final answer
    x = 1,672,986.11

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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.