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Finding the Third Proportional to 140,397.75 and 190,518.75

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Solution

The third proportional to 140,397.75 and 190,518.75 is: 258,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,397.75 : 190,518.75 = 190,518.75 : x
  2. Step 2: Convert to fraction form
    140,397.75/190,518.75 = 190,518.75/x
  3. Step 3: Cross multiply
    140,397.75x = 190,518.75 × 190,518.75
  4. Step 4: Simplify right side
    140,397.75x = 36,297,394,101.56
  5. Step 5: Solve for x
    x = 36,297,394,101.56/140,397.75
  6. Step 6: Final answer
    x = 258,532.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.