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Finding the Third Proportional to 329,112 and 717,692

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Solution

The third proportional to 329,112 and 717,692 is: 1,565,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,112 : 717,692 = 717,692 : x
  2. Step 2: Convert to fraction form
    329,112/717,692 = 717,692/x
  3. Step 3: Cross multiply
    329,112x = 717,692 × 717,692
  4. Step 4: Simplify right side
    329,112x = 515,081,806,864
  5. Step 5: Solve for x
    x = 515,081,806,864/329,112
  6. Step 6: Final answer
    x = 1,565,065.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.