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Finding the Third Proportional to 812,424 and 1,264,912

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Solution

The third proportional to 812,424 and 1,264,912 is: 1,969,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,424 : 1,264,912 = 1,264,912 : x
  2. Step 2: Convert to fraction form
    812,424/1,264,912 = 1,264,912/x
  3. Step 3: Cross multiply
    812,424x = 1,264,912 × 1,264,912
  4. Step 4: Simplify right side
    812,424x = 1,600,002,367,744
  5. Step 5: Solve for x
    x = 1,600,002,367,744/812,424
  6. Step 6: Final answer
    x = 1,969,417.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.