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Finding the Third Proportional to 398,975 and 598,455

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Solution

The third proportional to 398,975 and 598,455 is: 897,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,975 : 598,455 = 598,455 : x
  2. Step 2: Convert to fraction form
    398,975/598,455 = 598,455/x
  3. Step 3: Cross multiply
    398,975x = 598,455 × 598,455
  4. Step 4: Simplify right side
    398,975x = 358,148,387,025
  5. Step 5: Solve for x
    x = 358,148,387,025/398,975
  6. Step 6: Final answer
    x = 897,671.25

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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.