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Finding the Third Proportional to 66,511 and 136,129.50

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Solution

The third proportional to 66,511 and 136,129.50 is: 278,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,511 : 136,129.50 = 136,129.50 : x
  2. Step 2: Convert to fraction form
    66,511/136,129.50 = 136,129.50/x
  3. Step 3: Cross multiply
    66,511x = 136,129.50 × 136,129.50
  4. Step 4: Simplify right side
    66,511x = 18,531,240,770.25
  5. Step 5: Solve for x
    x = 18,531,240,770.25/66,511
  6. Step 6: Final answer
    x = 278,619.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.