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Finding the Third Proportional to 262,327 and 393,491

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Solution

The third proportional to 262,327 and 393,491 is: 590,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,327 : 393,491 = 393,491 : x
  2. Step 2: Convert to fraction form
    262,327/393,491 = 393,491/x
  3. Step 3: Cross multiply
    262,327x = 393,491 × 393,491
  4. Step 4: Simplify right side
    262,327x = 154,835,167,081
  5. Step 5: Solve for x
    x = 154,835,167,081/262,327
  6. Step 6: Final answer
    x = 590,237.25

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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.