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Finding the Third Proportional to 316,903 and 491,444

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Solution

The third proportional to 316,903 and 491,444 is: 762,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,903 : 491,444 = 491,444 : x
  2. Step 2: Convert to fraction form
    316,903/491,444 = 491,444/x
  3. Step 3: Cross multiply
    316,903x = 491,444 × 491,444
  4. Step 4: Simplify right side
    316,903x = 241,517,205,136
  5. Step 5: Solve for x
    x = 241,517,205,136/316,903
  6. Step 6: Final answer
    x = 762,117.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.