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Finding the Third Proportional to 85,866 and 128,961

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Solution

The third proportional to 85,866 and 128,961 is: 193,684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,866 : 128,961 = 128,961 : x
  2. Step 2: Convert to fraction form
    85,866/128,961 = 128,961/x
  3. Step 3: Cross multiply
    85,866x = 128,961 × 128,961
  4. Step 4: Simplify right side
    85,866x = 16,630,939,521
  5. Step 5: Solve for x
    x = 16,630,939,521/85,866
  6. Step 6: Final answer
    x = 193,684.81

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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.