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Finding the Third Proportional to 486,556 and 774,805

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Solution

The third proportional to 486,556 and 774,805 is: 1,233,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,556 : 774,805 = 774,805 : x
  2. Step 2: Convert to fraction form
    486,556/774,805 = 774,805/x
  3. Step 3: Cross multiply
    486,556x = 774,805 × 774,805
  4. Step 4: Simplify right side
    486,556x = 600,322,788,025
  5. Step 5: Solve for x
    x = 600,322,788,025/486,556
  6. Step 6: Final answer
    x = 1,233,820.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.