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Finding the Third Proportional to 216,237 and 323,490

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Solution

The third proportional to 216,237 and 323,490 is: 483,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,237 : 323,490 = 323,490 : x
  2. Step 2: Convert to fraction form
    216,237/323,490 = 323,490/x
  3. Step 3: Cross multiply
    216,237x = 323,490 × 323,490
  4. Step 4: Simplify right side
    216,237x = 104,645,780,100
  5. Step 5: Solve for x
    x = 104,645,780,100/216,237
  6. Step 6: Final answer
    x = 483,940.21

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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.