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Finding the Third Proportional to 392,428 and 820,388

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Solution

The third proportional to 392,428 and 820,388 is: 1,715,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,428 : 820,388 = 820,388 : x
  2. Step 2: Convert to fraction form
    392,428/820,388 = 820,388/x
  3. Step 3: Cross multiply
    392,428x = 820,388 × 820,388
  4. Step 4: Simplify right side
    392,428x = 673,036,470,544
  5. Step 5: Solve for x
    x = 673,036,470,544/392,428
  6. Step 6: Final answer
    x = 1,715,057.21

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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.