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Finding the Third Proportional to 330,702 and 717,780

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Solution

The third proportional to 330,702 and 717,780 is: 1,557,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,702 : 717,780 = 717,780 : x
  2. Step 2: Convert to fraction form
    330,702/717,780 = 717,780/x
  3. Step 3: Cross multiply
    330,702x = 717,780 × 717,780
  4. Step 4: Simplify right side
    330,702x = 515,208,128,400
  5. Step 5: Solve for x
    x = 515,208,128,400/330,702
  6. Step 6: Final answer
    x = 1,557,922.63

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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.