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Finding the Third Proportional to 399,904 and 613,219

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Solution

The third proportional to 399,904 and 613,219 is: 940,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,904 : 613,219 = 613,219 : x
  2. Step 2: Convert to fraction form
    399,904/613,219 = 613,219/x
  3. Step 3: Cross multiply
    399,904x = 613,219 × 613,219
  4. Step 4: Simplify right side
    399,904x = 376,037,541,961
  5. Step 5: Solve for x
    x = 376,037,541,961/399,904
  6. Step 6: Final answer
    x = 940,319.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.