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Finding the Third Proportional to 331,856 and 510,375

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Solution

The third proportional to 331,856 and 510,375 is: 784,926.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,856 : 510,375 = 510,375 : x
  2. Step 2: Convert to fraction form
    331,856/510,375 = 510,375/x
  3. Step 3: Cross multiply
    331,856x = 510,375 × 510,375
  4. Step 4: Simplify right side
    331,856x = 260,482,640,625
  5. Step 5: Solve for x
    x = 260,482,640,625/331,856
  6. Step 6: Final answer
    x = 784,926.72

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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.