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Finding the Third Proportional to 316,917 and 659,970

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Solution

The third proportional to 316,917 and 659,970 is: 1,374,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,917 : 659,970 = 659,970 : x
  2. Step 2: Convert to fraction form
    316,917/659,970 = 659,970/x
  3. Step 3: Cross multiply
    316,917x = 659,970 × 659,970
  4. Step 4: Simplify right side
    316,917x = 435,560,400,900
  5. Step 5: Solve for x
    x = 435,560,400,900/316,917
  6. Step 6: Final answer
    x = 1,374,367.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.