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Finding the Third Proportional to 322,990 and 707,296

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Solution

The third proportional to 322,990 and 707,296 is: 1,548,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,990 : 707,296 = 707,296 : x
  2. Step 2: Convert to fraction form
    322,990/707,296 = 707,296/x
  3. Step 3: Cross multiply
    322,990x = 707,296 × 707,296
  4. Step 4: Simplify right side
    322,990x = 500,267,631,616
  5. Step 5: Solve for x
    x = 500,267,631,616/322,990
  6. Step 6: Final answer
    x = 1,548,864.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.