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Finding the Third Proportional to 212,784 and 323,784

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Solution

The third proportional to 212,784 and 323,784 is: 492,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,784 : 323,784 = 323,784 : x
  2. Step 2: Convert to fraction form
    212,784/323,784 = 323,784/x
  3. Step 3: Cross multiply
    212,784x = 323,784 × 323,784
  4. Step 4: Simplify right side
    212,784x = 104,836,078,656
  5. Step 5: Solve for x
    x = 104,836,078,656/212,784
  6. Step 6: Final answer
    x = 492,687.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.