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Finding the Third Proportional to 216,592 and 324,888

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Solution

The third proportional to 216,592 and 324,888 is: 487,332

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,592 : 324,888 = 324,888 : x
  2. Step 2: Convert to fraction form
    216,592/324,888 = 324,888/x
  3. Step 3: Cross multiply
    216,592x = 324,888 × 324,888
  4. Step 4: Simplify right side
    216,592x = 105,552,212,544
  5. Step 5: Solve for x
    x = 105,552,212,544/216,592
  6. Step 6: Final answer
    x = 487,332

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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.