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Finding the Third Proportional to 269,064 and 403,128

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Solution

The third proportional to 269,064 and 403,128 is: 603,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,064 : 403,128 = 403,128 : x
  2. Step 2: Convert to fraction form
    269,064/403,128 = 403,128/x
  3. Step 3: Cross multiply
    269,064x = 403,128 × 403,128
  4. Step 4: Simplify right side
    269,064x = 162,512,184,384
  5. Step 5: Solve for x
    x = 162,512,184,384/269,064
  6. Step 6: Final answer
    x = 603,990.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.