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Finding the Third Proportional to 128,308 and 184,824

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Solution

The third proportional to 128,308 and 184,824 is: 266,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,308 : 184,824 = 184,824 : x
  2. Step 2: Convert to fraction form
    128,308/184,824 = 184,824/x
  3. Step 3: Cross multiply
    128,308x = 184,824 × 184,824
  4. Step 4: Simplify right side
    128,308x = 34,159,910,976
  5. Step 5: Solve for x
    x = 34,159,910,976/128,308
  6. Step 6: Final answer
    x = 266,233.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.