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Finding the Third Proportional to 271,038 and 421,578

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Solution

The third proportional to 271,038 and 421,578 is: 655,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,038 : 421,578 = 421,578 : x
  2. Step 2: Convert to fraction form
    271,038/421,578 = 421,578/x
  3. Step 3: Cross multiply
    271,038x = 421,578 × 421,578
  4. Step 4: Simplify right side
    271,038x = 177,728,010,084
  5. Step 5: Solve for x
    x = 177,728,010,084/271,038
  6. Step 6: Final answer
    x = 655,730.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.