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Finding the Third Proportional to 812,772 and 1,265,697

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Solution

The third proportional to 812,772 and 1,265,697 is: 1,971,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,772 : 1,265,697 = 1,265,697 : x
  2. Step 2: Convert to fraction form
    812,772/1,265,697 = 1,265,697/x
  3. Step 3: Cross multiply
    812,772x = 1,265,697 × 1,265,697
  4. Step 4: Simplify right side
    812,772x = 1,601,988,895,809
  5. Step 5: Solve for x
    x = 1,601,988,895,809/812,772
  6. Step 6: Final answer
    x = 1,971,018.80

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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.