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Finding the Third Proportional to 154,469 and 331,537

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Solution

The third proportional to 154,469 and 331,537 is: 711,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,469 : 331,537 = 331,537 : x
  2. Step 2: Convert to fraction form
    154,469/331,537 = 331,537/x
  3. Step 3: Cross multiply
    154,469x = 331,537 × 331,537
  4. Step 4: Simplify right side
    154,469x = 109,916,782,369
  5. Step 5: Solve for x
    x = 109,916,782,369/154,469
  6. Step 6: Final answer
    x = 711,578.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.