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Finding the Third Proportional to 320,318 and 491,336

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Solution

The third proportional to 320,318 and 491,336 is: 753,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,318 : 491,336 = 491,336 : x
  2. Step 2: Convert to fraction form
    320,318/491,336 = 491,336/x
  3. Step 3: Cross multiply
    320,318x = 491,336 × 491,336
  4. Step 4: Simplify right side
    320,318x = 241,411,064,896
  5. Step 5: Solve for x
    x = 241,411,064,896/320,318
  6. Step 6: Final answer
    x = 753,660.63

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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.