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Finding the Third Proportional to 398,638 and 596,859

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Solution

The third proportional to 398,638 and 596,859 is: 893,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,638 : 596,859 = 596,859 : x
  2. Step 2: Convert to fraction form
    398,638/596,859 = 596,859/x
  3. Step 3: Cross multiply
    398,638x = 596,859 × 596,859
  4. Step 4: Simplify right side
    398,638x = 356,240,665,881
  5. Step 5: Solve for x
    x = 356,240,665,881/398,638
  6. Step 6: Final answer
    x = 893,644.52

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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.