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Finding the Third Proportional to 271,932 and 420,018

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Solution

The third proportional to 271,932 and 420,018 is: 648,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932 : 420,018 = 420,018 : x
  2. Step 2: Convert to fraction form
    271,932/420,018 = 420,018/x
  3. Step 3: Cross multiply
    271,932x = 420,018 × 420,018
  4. Step 4: Simplify right side
    271,932x = 176,415,120,324
  5. Step 5: Solve for x
    x = 176,415,120,324/271,932
  6. Step 6: Final answer
    x = 648,747.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.