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Finding the Third Proportional to 329,286 and 707,660

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Solution

The third proportional to 329,286 and 707,660 is: 1,520,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,286 : 707,660 = 707,660 : x
  2. Step 2: Convert to fraction form
    329,286/707,660 = 707,660/x
  3. Step 3: Cross multiply
    329,286x = 707,660 × 707,660
  4. Step 4: Simplify right side
    329,286x = 500,782,675,600
  5. Step 5: Solve for x
    x = 500,782,675,600/329,286
  6. Step 6: Final answer
    x = 1,520,813.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.