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Finding the Third Proportional to 408,048 and 864,588

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Solution

The third proportional to 408,048 and 864,588 is: 1,831,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,048 : 864,588 = 864,588 : x
  2. Step 2: Convert to fraction form
    408,048/864,588 = 864,588/x
  3. Step 3: Cross multiply
    408,048x = 864,588 × 864,588
  4. Step 4: Simplify right side
    408,048x = 747,512,409,744
  5. Step 5: Solve for x
    x = 747,512,409,744/408,048
  6. Step 6: Final answer
    x = 1,831,922.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.