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Finding the Third Proportional to 66,039 and 128,769

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Solution

The third proportional to 66,039 and 128,769 is: 251,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,039 : 128,769 = 128,769 : x
  2. Step 2: Convert to fraction form
    66,039/128,769 = 128,769/x
  3. Step 3: Cross multiply
    66,039x = 128,769 × 128,769
  4. Step 4: Simplify right side
    66,039x = 16,581,455,361
  5. Step 5: Solve for x
    x = 16,581,455,361/66,039
  6. Step 6: Final answer
    x = 251,085.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.