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Finding the Third Proportional to 120,802 and 272,923

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Solution

The third proportional to 120,802 and 272,923 is: 616,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,802 : 272,923 = 272,923 : x
  2. Step 2: Convert to fraction form
    120,802/272,923 = 272,923/x
  3. Step 3: Cross multiply
    120,802x = 272,923 × 272,923
  4. Step 4: Simplify right side
    120,802x = 74,486,963,929
  5. Step 5: Solve for x
    x = 74,486,963,929/120,802
  6. Step 6: Final answer
    x = 616,603.73

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.