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Finding the Third Proportional to 691,329 and 1,437,840

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Solution

The third proportional to 691,329 and 1,437,840 is: 2,990,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,329 : 1,437,840 = 1,437,840 : x
  2. Step 2: Convert to fraction form
    691,329/1,437,840 = 1,437,840/x
  3. Step 3: Cross multiply
    691,329x = 1,437,840 × 1,437,840
  4. Step 4: Simplify right side
    691,329x = 2,067,383,865,600
  5. Step 5: Solve for x
    x = 2,067,383,865,600/691,329
  6. Step 6: Final answer
    x = 2,990,448.64

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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.