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Finding the Third Proportional to 303,840 and 664,864

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Solution

The third proportional to 303,840 and 664,864 is: 1,454,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,840 : 664,864 = 664,864 : x
  2. Step 2: Convert to fraction form
    303,840/664,864 = 664,864/x
  3. Step 3: Cross multiply
    303,840x = 664,864 × 664,864
  4. Step 4: Simplify right side
    303,840x = 442,044,138,496
  5. Step 5: Solve for x
    x = 442,044,138,496/303,840
  6. Step 6: Final answer
    x = 1,454,858.28

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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.