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Finding the Third Proportional to 407,949 and 864,522

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Solution

The third proportional to 407,949 and 864,522 is: 1,832,087.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,949 : 864,522 = 864,522 : x
  2. Step 2: Convert to fraction form
    407,949/864,522 = 864,522/x
  3. Step 3: Cross multiply
    407,949x = 864,522 × 864,522
  4. Step 4: Simplify right side
    407,949x = 747,398,288,484
  5. Step 5: Solve for x
    x = 747,398,288,484/407,949
  6. Step 6: Final answer
    x = 1,832,087.56

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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.