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Finding the Third Proportional to 412,878 and 581,427

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Solution

The third proportional to 412,878 and 581,427 is: 818,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,878 : 581,427 = 581,427 : x
  2. Step 2: Convert to fraction form
    412,878/581,427 = 581,427/x
  3. Step 3: Cross multiply
    412,878x = 581,427 × 581,427
  4. Step 4: Simplify right side
    412,878x = 338,057,356,329
  5. Step 5: Solve for x
    x = 338,057,356,329/412,878
  6. Step 6: Final answer
    x = 818,782.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.