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Finding the Third Proportional to 140,138.86 and 201,955.78

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Solution

The third proportional to 140,138.86 and 201,955.78 is: 291,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,138.86 : 201,955.78 = 201,955.78 : x
  2. Step 2: Convert to fraction form
    140,138.86/201,955.78 = 201,955.78/x
  3. Step 3: Cross multiply
    140,138.86x = 201,955.78 × 201,955.78
  4. Step 4: Simplify right side
    140,138.86x = 40,786,137,580.30
  5. Step 5: Solve for x
    x = 40,786,137,580.30/140,138.86
  6. Step 6: Final answer
    x = 291,040.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.