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Finding the Third Proportional to 513,576 and 771,916

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Solution

The third proportional to 513,576 and 771,916 is: 1,160,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,576 : 771,916 = 771,916 : x
  2. Step 2: Convert to fraction form
    513,576/771,916 = 771,916/x
  3. Step 3: Cross multiply
    513,576x = 771,916 × 771,916
  4. Step 4: Simplify right side
    513,576x = 595,854,311,056
  5. Step 5: Solve for x
    x = 595,854,311,056/513,576
  6. Step 6: Final answer
    x = 1,160,206.69

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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.