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Finding the Third Proportional to 217,981.50 and 295,868.25

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Solution

The third proportional to 217,981.50 and 295,868.25 is: 401,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,981.50 : 295,868.25 = 295,868.25 : x
  2. Step 2: Convert to fraction form
    217,981.50/295,868.25 = 295,868.25/x
  3. Step 3: Cross multiply
    217,981.50x = 295,868.25 × 295,868.25
  4. Step 4: Simplify right side
    217,981.50x = 87,538,021,358.06
  5. Step 5: Solve for x
    x = 87,538,021,358.06/217,981.50
  6. Step 6: Final answer
    x = 401,584.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.