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Finding the Third Proportional to 303,798 and 664,808

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Solution

The third proportional to 303,798 and 664,808 is: 1,454,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,798 : 664,808 = 664,808 : x
  2. Step 2: Convert to fraction form
    303,798/664,808 = 664,808/x
  3. Step 3: Cross multiply
    303,798x = 664,808 × 664,808
  4. Step 4: Simplify right side
    303,798x = 441,969,676,864
  5. Step 5: Solve for x
    x = 441,969,676,864/303,798
  6. Step 6: Final answer
    x = 1,454,814.31

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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.