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Finding the Third Proportional to 271,402 and 398,977

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Solution

The third proportional to 271,402 and 398,977 is: 586,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,402 : 398,977 = 398,977 : x
  2. Step 2: Convert to fraction form
    271,402/398,977 = 398,977/x
  3. Step 3: Cross multiply
    271,402x = 398,977 × 398,977
  4. Step 4: Simplify right side
    271,402x = 159,182,646,529
  5. Step 5: Solve for x
    x = 159,182,646,529/271,402
  6. Step 6: Final answer
    x = 586,519.80

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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.