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Finding the Third Proportional to 103,708.69 and 140,119.03

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Solution

The third proportional to 103,708.69 and 140,119.03 is: 189,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,708.69 : 140,119.03 = 140,119.03 : x
  2. Step 2: Convert to fraction form
    103,708.69/140,119.03 = 140,119.03/x
  3. Step 3: Cross multiply
    103,708.69x = 140,119.03 × 140,119.03
  4. Step 4: Simplify right side
    103,708.69x = 19,633,342,918.44
  5. Step 5: Solve for x
    x = 19,633,342,918.44/103,708.69
  6. Step 6: Final answer
    x = 189,312.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.