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Finding the Third Proportional to 519,380 and 811,875

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Solution

The third proportional to 519,380 and 811,875 is: 1,269,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,380 : 811,875 = 811,875 : x
  2. Step 2: Convert to fraction form
    519,380/811,875 = 811,875/x
  3. Step 3: Cross multiply
    519,380x = 811,875 × 811,875
  4. Step 4: Simplify right side
    519,380x = 659,141,015,625
  5. Step 5: Solve for x
    x = 659,141,015,625/519,380
  6. Step 6: Final answer
    x = 1,269,092.02

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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.