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Finding the Third Proportional to 396,066 and 841,216

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Solution

The third proportional to 396,066 and 841,216 is: 1,786,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,066 : 841,216 = 841,216 : x
  2. Step 2: Convert to fraction form
    396,066/841,216 = 841,216/x
  3. Step 3: Cross multiply
    396,066x = 841,216 × 841,216
  4. Step 4: Simplify right side
    396,066x = 707,644,358,656
  5. Step 5: Solve for x
    x = 707,644,358,656/396,066
  6. Step 6: Final answer
    x = 1,786,682.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.