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Finding the Third Proportional to 207,482 and 320,434

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Solution

The third proportional to 207,482 and 320,434 is: 494,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,482 : 320,434 = 320,434 : x
  2. Step 2: Convert to fraction form
    207,482/320,434 = 320,434/x
  3. Step 3: Cross multiply
    207,482x = 320,434 × 320,434
  4. Step 4: Simplify right side
    207,482x = 102,677,948,356
  5. Step 5: Solve for x
    x = 102,677,948,356/207,482
  6. Step 6: Final answer
    x = 494,876.42

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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.