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Finding the Third Proportional to 287,959 and 628,405

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Solution

The third proportional to 287,959 and 628,405 is: 1,371,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,959 : 628,405 = 628,405 : x
  2. Step 2: Convert to fraction form
    287,959/628,405 = 628,405/x
  3. Step 3: Cross multiply
    287,959x = 628,405 × 628,405
  4. Step 4: Simplify right side
    287,959x = 394,892,844,025
  5. Step 5: Solve for x
    x = 394,892,844,025/287,959
  6. Step 6: Final answer
    x = 1,371,350.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.