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Finding the Third Proportional to 398,789 and 598,475

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Solution

The third proportional to 398,789 and 598,475 is: 898,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,789 : 598,475 = 598,475 : x
  2. Step 2: Convert to fraction form
    398,789/598,475 = 598,475/x
  3. Step 3: Cross multiply
    398,789x = 598,475 × 598,475
  4. Step 4: Simplify right side
    398,789x = 358,172,325,625
  5. Step 5: Solve for x
    x = 358,172,325,625/398,789
  6. Step 6: Final answer
    x = 898,149.96

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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.