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Finding the Third Proportional to 148,544 and 309,326

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Solution

The third proportional to 148,544 and 309,326 is: 644,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,544 : 309,326 = 309,326 : x
  2. Step 2: Convert to fraction form
    148,544/309,326 = 309,326/x
  3. Step 3: Cross multiply
    148,544x = 309,326 × 309,326
  4. Step 4: Simplify right side
    148,544x = 95,682,574,276
  5. Step 5: Solve for x
    x = 95,682,574,276/148,544
  6. Step 6: Final answer
    x = 644,136.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.