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Finding the Third Proportional to 330,828 and 717,657

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Solution

The third proportional to 330,828 and 717,657 is: 1,556,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,828 : 717,657 = 717,657 : x
  2. Step 2: Convert to fraction form
    330,828/717,657 = 717,657/x
  3. Step 3: Cross multiply
    330,828x = 717,657 × 717,657
  4. Step 4: Simplify right side
    330,828x = 515,031,569,649
  5. Step 5: Solve for x
    x = 515,031,569,649/330,828
  6. Step 6: Final answer
    x = 1,556,795.58

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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.