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Finding the Third Proportional to 398,790 and 598,476

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Solution

The third proportional to 398,790 and 598,476 is: 898,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,790 : 598,476 = 598,476 : x
  2. Step 2: Convert to fraction form
    398,790/598,476 = 598,476/x
  3. Step 3: Cross multiply
    398,790x = 598,476 × 598,476
  4. Step 4: Simplify right side
    398,790x = 358,173,522,576
  5. Step 5: Solve for x
    x = 358,173,522,576/398,790
  6. Step 6: Final answer
    x = 898,150.71

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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.