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Finding the Third Proportional to 271,418 and 399,018

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Solution

The third proportional to 271,418 and 399,018 is: 586,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,418 : 399,018 = 399,018 : x
  2. Step 2: Convert to fraction form
    271,418/399,018 = 399,018/x
  3. Step 3: Cross multiply
    271,418x = 399,018 × 399,018
  4. Step 4: Simplify right side
    271,418x = 159,215,364,324
  5. Step 5: Solve for x
    x = 159,215,364,324/271,418
  6. Step 6: Final answer
    x = 586,605.77

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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.