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Finding the Third Proportional to 137,120.63 and 211,899.38

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Solution

The third proportional to 137,120.63 and 211,899.38 is: 327,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,120.63 : 211,899.38 = 211,899.38 : x
  2. Step 2: Convert to fraction form
    137,120.63/211,899.38 = 211,899.38/x
  3. Step 3: Cross multiply
    137,120.63x = 211,899.38 × 211,899.38
  4. Step 4: Simplify right side
    137,120.63x = 44,901,345,125.39
  5. Step 5: Solve for x
    x = 44,901,345,125.39/137,120.63
  6. Step 6: Final answer
    x = 327,458.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.