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Finding the Third Proportional to 291,311 and 393,582

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Solution

The third proportional to 291,311 and 393,582 is: 531,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,311 : 393,582 = 393,582 : x
  2. Step 2: Convert to fraction form
    291,311/393,582 = 393,582/x
  3. Step 3: Cross multiply
    291,311x = 393,582 × 393,582
  4. Step 4: Simplify right side
    291,311x = 154,906,790,724
  5. Step 5: Solve for x
    x = 154,906,790,724/291,311
  6. Step 6: Final answer
    x = 531,757.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.