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Finding the Third Proportional to 411,378 and 621,450

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Solution

The third proportional to 411,378 and 621,450 is: 938,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,378 : 621,450 = 621,450 : x
  2. Step 2: Convert to fraction form
    411,378/621,450 = 621,450/x
  3. Step 3: Cross multiply
    411,378x = 621,450 × 621,450
  4. Step 4: Simplify right side
    411,378x = 386,200,102,500
  5. Step 5: Solve for x
    x = 386,200,102,500/411,378
  6. Step 6: Final answer
    x = 938,796.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.