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Finding the Third Proportional to 812,826 and 1,207,491

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Solution

The third proportional to 812,826 and 1,207,491 is: 1,793,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,826 : 1,207,491 = 1,207,491 : x
  2. Step 2: Convert to fraction form
    812,826/1,207,491 = 1,207,491/x
  3. Step 3: Cross multiply
    812,826x = 1,207,491 × 1,207,491
  4. Step 4: Simplify right side
    812,826x = 1,458,034,515,081
  5. Step 5: Solve for x
    x = 1,458,034,515,081/812,826
  6. Step 6: Final answer
    x = 1,793,784.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.