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Finding the Third Proportional to 144,427 and 311,689

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Solution

The third proportional to 144,427 and 311,689 is: 672,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,427 : 311,689 = 311,689 : x
  2. Step 2: Convert to fraction form
    144,427/311,689 = 311,689/x
  3. Step 3: Cross multiply
    144,427x = 311,689 × 311,689
  4. Step 4: Simplify right side
    144,427x = 97,150,032,721
  5. Step 5: Solve for x
    x = 97,150,032,721/144,427
  6. Step 6: Final answer
    x = 672,658.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.