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Finding the Third Proportional to 300,287 and 652,981

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Solution

The third proportional to 300,287 and 652,981 is: 1,419,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,287 : 652,981 = 652,981 : x
  2. Step 2: Convert to fraction form
    300,287/652,981 = 652,981/x
  3. Step 3: Cross multiply
    300,287x = 652,981 × 652,981
  4. Step 4: Simplify right side
    300,287x = 426,384,186,361
  5. Step 5: Solve for x
    x = 426,384,186,361/300,287
  6. Step 6: Final answer
    x = 1,419,922.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.