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Finding the Third Proportional to 308,923 and 676,887

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Solution

The third proportional to 308,923 and 676,887 is: 1,483,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,923 : 676,887 = 676,887 : x
  2. Step 2: Convert to fraction form
    308,923/676,887 = 676,887/x
  3. Step 3: Cross multiply
    308,923x = 676,887 × 676,887
  4. Step 4: Simplify right side
    308,923x = 458,176,010,769
  5. Step 5: Solve for x
    x = 458,176,010,769/308,923
  6. Step 6: Final answer
    x = 1,483,139.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.