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Finding the Third Proportional to 61,066 and 128,692

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Solution

The third proportional to 61,066 and 128,692 is: 271,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,066 : 128,692 = 128,692 : x
  2. Step 2: Convert to fraction form
    61,066/128,692 = 128,692/x
  3. Step 3: Cross multiply
    61,066x = 128,692 × 128,692
  4. Step 4: Simplify right side
    61,066x = 16,561,630,864
  5. Step 5: Solve for x
    x = 16,561,630,864/61,066
  6. Step 6: Final answer
    x = 271,208.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.