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Finding the Third Proportional to 331,351 and 510,057

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Solution

The third proportional to 331,351 and 510,057 is: 785,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,351 : 510,057 = 510,057 : x
  2. Step 2: Convert to fraction form
    331,351/510,057 = 510,057/x
  3. Step 3: Cross multiply
    331,351x = 510,057 × 510,057
  4. Step 4: Simplify right side
    331,351x = 260,158,143,249
  5. Step 5: Solve for x
    x = 260,158,143,249/331,351
  6. Step 6: Final answer
    x = 785,143.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.