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Finding the Third Proportional to 638,833 and 958,266

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Solution

The third proportional to 638,833 and 958,266 is: 1,437,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,833 : 958,266 = 958,266 : x
  2. Step 2: Convert to fraction form
    638,833/958,266 = 958,266/x
  3. Step 3: Cross multiply
    638,833x = 958,266 × 958,266
  4. Step 4: Simplify right side
    638,833x = 918,273,726,756
  5. Step 5: Solve for x
    x = 918,273,726,756/638,833
  6. Step 6: Final answer
    x = 1,437,423.75

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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.