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Finding the Third Proportional to 140,125.50 and 223,072.50

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Solution

The third proportional to 140,125.50 and 223,072.50 is: 355,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,125.50 : 223,072.50 = 223,072.50 : x
  2. Step 2: Convert to fraction form
    140,125.50/223,072.50 = 223,072.50/x
  3. Step 3: Cross multiply
    140,125.50x = 223,072.50 × 223,072.50
  4. Step 4: Simplify right side
    140,125.50x = 49,761,340,256.25
  5. Step 5: Solve for x
    x = 49,761,340,256.25/140,125.50
  6. Step 6: Final answer
    x = 355,119.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.