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Finding the Third Proportional to 207,469 and 320,417

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Solution

The third proportional to 207,469 and 320,417 is: 494,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,469 : 320,417 = 320,417 : x
  2. Step 2: Convert to fraction form
    207,469/320,417 = 320,417/x
  3. Step 3: Cross multiply
    207,469x = 320,417 × 320,417
  4. Step 4: Simplify right side
    207,469x = 102,667,053,889
  5. Step 5: Solve for x
    x = 102,667,053,889/207,469
  6. Step 6: Final answer
    x = 494,854.91

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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.