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Finding the Third Proportional to 299,486 and 398,685

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Solution

The third proportional to 299,486 and 398,685 is: 530,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,486 : 398,685 = 398,685 : x
  2. Step 2: Convert to fraction form
    299,486/398,685 = 398,685/x
  3. Step 3: Cross multiply
    299,486x = 398,685 × 398,685
  4. Step 4: Simplify right side
    299,486x = 158,949,729,225
  5. Step 5: Solve for x
    x = 158,949,729,225/299,486
  6. Step 6: Final answer
    x = 530,741.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.