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Finding the Third Proportional to 330,703 and 717,781

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Solution

The third proportional to 330,703 and 717,781 is: 1,557,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,703 : 717,781 = 717,781 : x
  2. Step 2: Convert to fraction form
    330,703/717,781 = 717,781/x
  3. Step 3: Cross multiply
    330,703x = 717,781 × 717,781
  4. Step 4: Simplify right side
    330,703x = 515,209,563,961
  5. Step 5: Solve for x
    x = 515,209,563,961/330,703
  6. Step 6: Final answer
    x = 1,557,922.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.