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Finding the Third Proportional to 331,454 and 518,501

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Solution

The third proportional to 331,454 and 518,501 is: 811,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,454 : 518,501 = 518,501 : x
  2. Step 2: Convert to fraction form
    331,454/518,501 = 518,501/x
  3. Step 3: Cross multiply
    331,454x = 518,501 × 518,501
  4. Step 4: Simplify right side
    331,454x = 268,843,287,001
  5. Step 5: Solve for x
    x = 268,843,287,001/331,454
  6. Step 6: Final answer
    x = 811,102.86

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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.