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Finding the Third Proportional to 812,608 and 1,270,752

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Solution

The third proportional to 812,608 and 1,270,752 is: 1,987,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,608 : 1,270,752 = 1,270,752 : x
  2. Step 2: Convert to fraction form
    812,608/1,270,752 = 1,270,752/x
  3. Step 3: Cross multiply
    812,608x = 1,270,752 × 1,270,752
  4. Step 4: Simplify right side
    812,608x = 1,614,810,645,504
  5. Step 5: Solve for x
    x = 1,614,810,645,504/812,608
  6. Step 6: Final answer
    x = 1,987,195.11

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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.