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Finding the Third Proportional to 216,144 and 323,352

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Solution

The third proportional to 216,144 and 323,352 is: 483,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,144 : 323,352 = 323,352 : x
  2. Step 2: Convert to fraction form
    216,144/323,352 = 323,352/x
  3. Step 3: Cross multiply
    216,144x = 323,352 × 323,352
  4. Step 4: Simplify right side
    216,144x = 104,556,515,904
  5. Step 5: Solve for x
    x = 104,556,515,904/216,144
  6. Step 6: Final answer
    x = 483,735.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.