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Finding the Third Proportional to 812,823 and 1,207,458

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Solution

The third proportional to 812,823 and 1,207,458 is: 1,793,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,823 : 1,207,458 = 1,207,458 : x
  2. Step 2: Convert to fraction form
    812,823/1,207,458 = 1,207,458/x
  3. Step 3: Cross multiply
    812,823x = 1,207,458 × 1,207,458
  4. Step 4: Simplify right side
    812,823x = 1,457,954,821,764
  5. Step 5: Solve for x
    x = 1,457,954,821,764/812,823
  6. Step 6: Final answer
    x = 1,793,692.87

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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.