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Finding the Third Proportional to 513,571 and 771,909

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Solution

The third proportional to 513,571 and 771,909 is: 1,160,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,571 : 771,909 = 771,909 : x
  2. Step 2: Convert to fraction form
    513,571/771,909 = 771,909/x
  3. Step 3: Cross multiply
    513,571x = 771,909 × 771,909
  4. Step 4: Simplify right side
    513,571x = 595,843,504,281
  5. Step 5: Solve for x
    x = 595,843,504,281/513,571
  6. Step 6: Final answer
    x = 1,160,196.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.