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Finding the Third Proportional to 289,470 and 627,232

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Solution

The third proportional to 289,470 and 627,232 is: 1,359,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,470 : 627,232 = 627,232 : x
  2. Step 2: Convert to fraction form
    289,470/627,232 = 627,232/x
  3. Step 3: Cross multiply
    289,470x = 627,232 × 627,232
  4. Step 4: Simplify right side
    289,470x = 393,419,981,824
  5. Step 5: Solve for x
    x = 393,419,981,824/289,470
  6. Step 6: Final answer
    x = 1,359,104.51

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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.