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Finding the Third Proportional to 512,912 and 804,578

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Solution

The third proportional to 512,912 and 804,578 is: 1,262,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,912 : 804,578 = 804,578 : x
  2. Step 2: Convert to fraction form
    512,912/804,578 = 804,578/x
  3. Step 3: Cross multiply
    512,912x = 804,578 × 804,578
  4. Step 4: Simplify right side
    512,912x = 647,345,758,084
  5. Step 5: Solve for x
    x = 647,345,758,084/512,912
  6. Step 6: Final answer
    x = 1,262,099.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.