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Finding the Third Proportional to 219,309.75 and 274,527

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Solution

The third proportional to 219,309.75 and 274,527 is: 343,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,309.75 : 274,527 = 274,527 : x
  2. Step 2: Convert to fraction form
    219,309.75/274,527 = 274,527/x
  3. Step 3: Cross multiply
    219,309.75x = 274,527 × 274,527
  4. Step 4: Simplify right side
    219,309.75x = 75,365,073,729
  5. Step 5: Solve for x
    x = 75,365,073,729/219,309.75
  6. Step 6: Final answer
    x = 343,646.71

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.