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Finding the Third Proportional to 398,460 and 598,122

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Solution

The third proportional to 398,460 and 598,122 is: 897,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,460 : 598,122 = 598,122 : x
  2. Step 2: Convert to fraction form
    398,460/598,122 = 598,122/x
  3. Step 3: Cross multiply
    398,460x = 598,122 × 598,122
  4. Step 4: Simplify right side
    398,460x = 357,749,926,884
  5. Step 5: Solve for x
    x = 357,749,926,884/398,460
  6. Step 6: Final answer
    x = 897,831.47

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Why These Related Problems?

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