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Finding the Third Proportional to 330,819 and 717,649

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Solution

The third proportional to 330,819 and 717,649 is: 1,556,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,819 : 717,649 = 717,649 : x
  2. Step 2: Convert to fraction form
    330,819/717,649 = 717,649/x
  3. Step 3: Cross multiply
    330,819x = 717,649 × 717,649
  4. Step 4: Simplify right side
    330,819x = 515,020,087,201
  5. Step 5: Solve for x
    x = 515,020,087,201/330,819
  6. Step 6: Final answer
    x = 1,556,803.23

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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.