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Finding the Third Proportional to 218,885 and 314,503

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Solution

The third proportional to 218,885 and 314,503 is: 451,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,885 : 314,503 = 314,503 : x
  2. Step 2: Convert to fraction form
    218,885/314,503 = 314,503/x
  3. Step 3: Cross multiply
    218,885x = 314,503 × 314,503
  4. Step 4: Simplify right side
    218,885x = 98,912,137,009
  5. Step 5: Solve for x
    x = 98,912,137,009/218,885
  6. Step 6: Final answer
    x = 451,890.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.