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Finding the Third Proportional to 216,816.75 and 333,679.50

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Solution

The third proportional to 216,816.75 and 333,679.50 is: 513,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,816.75 : 333,679.50 = 333,679.50 : x
  2. Step 2: Convert to fraction form
    216,816.75/333,679.50 = 333,679.50/x
  3. Step 3: Cross multiply
    216,816.75x = 333,679.50 × 333,679.50
  4. Step 4: Simplify right side
    216,816.75x = 111,342,008,720.25
  5. Step 5: Solve for x
    x = 111,342,008,720.25/216,816.75
  6. Step 6: Final answer
    x = 513,530.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.