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Finding the Third Proportional to 401,949 and 879,228

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Solution

The third proportional to 401,949 and 879,228 is: 1,923,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,949 : 879,228 = 879,228 : x
  2. Step 2: Convert to fraction form
    401,949/879,228 = 879,228/x
  3. Step 3: Cross multiply
    401,949x = 879,228 × 879,228
  4. Step 4: Simplify right side
    401,949x = 773,041,875,984
  5. Step 5: Solve for x
    x = 773,041,875,984/401,949
  6. Step 6: Final answer
    x = 1,923,233.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.