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Finding the Third Proportional to 393,638 and 815,272

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Solution

The third proportional to 393,638 and 815,272 is: 1,688,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,638 : 815,272 = 815,272 : x
  2. Step 2: Convert to fraction form
    393,638/815,272 = 815,272/x
  3. Step 3: Cross multiply
    393,638x = 815,272 × 815,272
  4. Step 4: Simplify right side
    393,638x = 664,668,433,984
  5. Step 5: Solve for x
    x = 664,668,433,984/393,638
  6. Step 6: Final answer
    x = 1,688,527.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.