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Finding the Third Proportional to 437,908 and 658,806

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Solution

The third proportional to 437,908 and 658,806 is: 991,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,908 : 658,806 = 658,806 : x
  2. Step 2: Convert to fraction form
    437,908/658,806 = 658,806/x
  3. Step 3: Cross multiply
    437,908x = 658,806 × 658,806
  4. Step 4: Simplify right side
    437,908x = 434,025,345,636
  5. Step 5: Solve for x
    x = 434,025,345,636/437,908
  6. Step 6: Final answer
    x = 991,133.63

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