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Finding the Third Proportional to 512,704 and 776,704

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Solution

The third proportional to 512,704 and 776,704 is: 1,176,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,704 : 776,704 = 776,704 : x
  2. Step 2: Convert to fraction form
    512,704/776,704 = 776,704/x
  3. Step 3: Cross multiply
    512,704x = 776,704 × 776,704
  4. Step 4: Simplify right side
    512,704x = 603,269,103,616
  5. Step 5: Solve for x
    x = 603,269,103,616/512,704
  6. Step 6: Final answer
    x = 1,176,642.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.