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Finding the Third Proportional to 331,830 and 510,327

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Solution

The third proportional to 331,830 and 510,327 is: 784,840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,830 : 510,327 = 510,327 : x
  2. Step 2: Convert to fraction form
    331,830/510,327 = 510,327/x
  3. Step 3: Cross multiply
    331,830x = 510,327 × 510,327
  4. Step 4: Simplify right side
    331,830x = 260,433,646,929
  5. Step 5: Solve for x
    x = 260,433,646,929/331,830
  6. Step 6: Final answer
    x = 784,840.57

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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.