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Finding the Third Proportional to 329,006 and 707,920

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Solution

The third proportional to 329,006 and 707,920 is: 1,523,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,006 : 707,920 = 707,920 : x
  2. Step 2: Convert to fraction form
    329,006/707,920 = 707,920/x
  3. Step 3: Cross multiply
    329,006x = 707,920 × 707,920
  4. Step 4: Simplify right side
    329,006x = 501,150,726,400
  5. Step 5: Solve for x
    x = 501,150,726,400/329,006
  6. Step 6: Final answer
    x = 1,523,226.71

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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.