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Finding the Third Proportional to 316,596 and 491,790

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Solution

The third proportional to 316,596 and 491,790 is: 763,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,596 : 491,790 = 491,790 : x
  2. Step 2: Convert to fraction form
    316,596/491,790 = 491,790/x
  3. Step 3: Cross multiply
    316,596x = 491,790 × 491,790
  4. Step 4: Simplify right side
    316,596x = 241,857,404,100
  5. Step 5: Solve for x
    x = 241,857,404,100/316,596
  6. Step 6: Final answer
    x = 763,930.70

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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.