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Finding the Third Proportional to 271,366 and 398,909

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Solution

The third proportional to 271,366 and 398,909 is: 586,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,366 : 398,909 = 398,909 : x
  2. Step 2: Convert to fraction form
    271,366/398,909 = 398,909/x
  3. Step 3: Cross multiply
    271,366x = 398,909 × 398,909
  4. Step 4: Simplify right side
    271,366x = 159,128,390,281
  5. Step 5: Solve for x
    x = 159,128,390,281/271,366
  6. Step 6: Final answer
    x = 586,397.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.