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Finding the Third Proportional to 207,470 and 320,419

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Solution

The third proportional to 207,470 and 320,419 is: 494,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,470 : 320,419 = 320,419 : x
  2. Step 2: Convert to fraction form
    207,470/320,419 = 320,419/x
  3. Step 3: Cross multiply
    207,470x = 320,419 × 320,419
  4. Step 4: Simplify right side
    207,470x = 102,668,335,561
  5. Step 5: Solve for x
    x = 102,668,335,561/207,470
  6. Step 6: Final answer
    x = 494,858.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.