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Finding the Third Proportional to 66,840.19 and 140,104.69

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Solution

The third proportional to 66,840.19 and 140,104.69 is: 293,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,840.19 : 140,104.69 = 140,104.69 : x
  2. Step 2: Convert to fraction form
    66,840.19/140,104.69 = 140,104.69/x
  3. Step 3: Cross multiply
    66,840.19x = 140,104.69 × 140,104.69
  4. Step 4: Simplify right side
    66,840.19x = 19,629,323,459.47
  5. Step 5: Solve for x
    x = 19,629,323,459.47/66,840.19
  6. Step 6: Final answer
    x = 293,675.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.