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Finding the Third Proportional to 691,321 and 1,437,824

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Solution

The third proportional to 691,321 and 1,437,824 is: 2,990,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,321 : 1,437,824 = 1,437,824 : x
  2. Step 2: Convert to fraction form
    691,321/1,437,824 = 1,437,824/x
  3. Step 3: Cross multiply
    691,321x = 1,437,824 × 1,437,824
  4. Step 4: Simplify right side
    691,321x = 2,067,337,854,976
  5. Step 5: Solve for x
    x = 2,067,337,854,976/691,321
  6. Step 6: Final answer
    x = 2,990,416.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.