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Finding the Third Proportional to 140,145.75 and 211,676.63

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Solution

The third proportional to 140,145.75 and 211,676.63 is: 319,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,145.75 : 211,676.63 = 211,676.63 : x
  2. Step 2: Convert to fraction form
    140,145.75/211,676.63 = 211,676.63/x
  3. Step 3: Cross multiply
    140,145.75x = 211,676.63 × 211,676.63
  4. Step 4: Simplify right side
    140,145.75x = 44,806,993,571.39
  5. Step 5: Solve for x
    x = 44,806,993,571.39/140,145.75
  6. Step 6: Final answer
    x = 319,717.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.