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Finding the Third Proportional to 316,853 and 659,923

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Solution

The third proportional to 316,853 and 659,923 is: 1,374,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,853 : 659,923 = 659,923 : x
  2. Step 2: Convert to fraction form
    316,853/659,923 = 659,923/x
  3. Step 3: Cross multiply
    316,853x = 659,923 × 659,923
  4. Step 4: Simplify right side
    316,853x = 435,498,365,929
  5. Step 5: Solve for x
    x = 435,498,365,929/316,853
  6. Step 6: Final answer
    x = 1,374,449.24

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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.