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Finding the Third Proportional to 408,064 and 621,128

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Solution

The third proportional to 408,064 and 621,128 is: 945,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064 : 621,128 = 621,128 : x
  2. Step 2: Convert to fraction form
    408,064/621,128 = 621,128/x
  3. Step 3: Cross multiply
    408,064x = 621,128 × 621,128
  4. Step 4: Simplify right side
    408,064x = 385,799,992,384
  5. Step 5: Solve for x
    x = 385,799,992,384/408,064
  6. Step 6: Final answer
    x = 945,439.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.