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Finding the Third Proportional to 331,421 and 518,457

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Solution

The third proportional to 331,421 and 518,457 is: 811,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,421 : 518,457 = 518,457 : x
  2. Step 2: Convert to fraction form
    331,421/518,457 = 518,457/x
  3. Step 3: Cross multiply
    331,421x = 518,457 × 518,457
  4. Step 4: Simplify right side
    331,421x = 268,797,660,849
  5. Step 5: Solve for x
    x = 268,797,660,849/331,421
  6. Step 6: Final answer
    x = 811,045.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.