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Finding the Third Proportional to 459,738 and 690,234

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Solution

The third proportional to 459,738 and 690,234 is: 1,036,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,738 : 690,234 = 690,234 : x
  2. Step 2: Convert to fraction form
    459,738/690,234 = 690,234/x
  3. Step 3: Cross multiply
    459,738x = 690,234 × 690,234
  4. Step 4: Simplify right side
    459,738x = 476,422,974,756
  5. Step 5: Solve for x
    x = 476,422,974,756/459,738
  6. Step 6: Final answer
    x = 1,036,292.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.