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Finding the Third Proportional to 216,578 and 333,318

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Solution

The third proportional to 216,578 and 333,318 is: 512,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,578 : 333,318 = 333,318 : x
  2. Step 2: Convert to fraction form
    216,578/333,318 = 333,318/x
  3. Step 3: Cross multiply
    216,578x = 333,318 × 333,318
  4. Step 4: Simplify right side
    216,578x = 111,100,889,124
  5. Step 5: Solve for x
    x = 111,100,889,124/216,578
  6. Step 6: Final answer
    x = 512,983.26

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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.