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Finding the Third Proportional to 320,340 and 491,364

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Solution

The third proportional to 320,340 and 491,364 is: 753,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,340 : 491,364 = 491,364 : x
  2. Step 2: Convert to fraction form
    320,340/491,364 = 491,364/x
  3. Step 3: Cross multiply
    320,340x = 491,364 × 491,364
  4. Step 4: Simplify right side
    320,340x = 241,438,580,496
  5. Step 5: Solve for x
    x = 241,438,580,496/320,340
  6. Step 6: Final answer
    x = 753,694.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.