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Finding the Third Proportional to 392,712 and 820,416

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Solution

The third proportional to 392,712 and 820,416 is: 1,713,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,712 : 820,416 = 820,416 : x
  2. Step 2: Convert to fraction form
    392,712/820,416 = 820,416/x
  3. Step 3: Cross multiply
    392,712x = 820,416 × 820,416
  4. Step 4: Simplify right side
    392,712x = 673,082,413,056
  5. Step 5: Solve for x
    x = 673,082,413,056/392,712
  6. Step 6: Final answer
    x = 1,713,933.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.