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Finding the Third Proportional to 128,064 and 187,944

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Solution

The third proportional to 128,064 and 187,944 is: 275,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,064 : 187,944 = 187,944 : x
  2. Step 2: Convert to fraction form
    128,064/187,944 = 187,944/x
  3. Step 3: Cross multiply
    128,064x = 187,944 × 187,944
  4. Step 4: Simplify right side
    128,064x = 35,322,947,136
  5. Step 5: Solve for x
    x = 35,322,947,136/128,064
  6. Step 6: Final answer
    x = 275,822.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.