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Finding the Third Proportional to 216,576 and 333,321

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Solution

The third proportional to 216,576 and 333,321 is: 512,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,576 : 333,321 = 333,321 : x
  2. Step 2: Convert to fraction form
    216,576/333,321 = 333,321/x
  3. Step 3: Cross multiply
    216,576x = 333,321 × 333,321
  4. Step 4: Simplify right side
    216,576x = 111,102,889,041
  5. Step 5: Solve for x
    x = 111,102,889,041/216,576
  6. Step 6: Final answer
    x = 512,997.23

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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.