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Finding the Third Proportional to 365,808 and 521,494

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Solution

The third proportional to 365,808 and 521,494 is: 743,439.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,808 : 521,494 = 521,494 : x
  2. Step 2: Convert to fraction form
    365,808/521,494 = 521,494/x
  3. Step 3: Cross multiply
    365,808x = 521,494 × 521,494
  4. Step 4: Simplify right side
    365,808x = 271,955,992,036
  5. Step 5: Solve for x
    x = 271,955,992,036/365,808
  6. Step 6: Final answer
    x = 743,439.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.