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Finding the Third Proportional to 331,432 and 518,466

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Solution

The third proportional to 331,432 and 518,466 is: 811,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,432 : 518,466 = 518,466 : x
  2. Step 2: Convert to fraction form
    331,432/518,466 = 518,466/x
  3. Step 3: Cross multiply
    331,432x = 518,466 × 518,466
  4. Step 4: Simplify right side
    331,432x = 268,806,993,156
  5. Step 5: Solve for x
    x = 268,806,993,156/331,432
  6. Step 6: Final answer
    x = 811,047.19

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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.