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Finding the Third Proportional to 304,844 and 428,908

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Solution

The third proportional to 304,844 and 428,908 is: 603,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,844 : 428,908 = 428,908 : x
  2. Step 2: Convert to fraction form
    304,844/428,908 = 428,908/x
  3. Step 3: Cross multiply
    304,844x = 428,908 × 428,908
  4. Step 4: Simplify right side
    304,844x = 183,962,072,464
  5. Step 5: Solve for x
    x = 183,962,072,464/304,844
  6. Step 6: Final answer
    x = 603,462.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.