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Finding the Third Proportional to 138,149.50 and 202,690.50

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Solution

The third proportional to 138,149.50 and 202,690.50 is: 297,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,149.50 : 202,690.50 = 202,690.50 : x
  2. Step 2: Convert to fraction form
    138,149.50/202,690.50 = 202,690.50/x
  3. Step 3: Cross multiply
    138,149.50x = 202,690.50 × 202,690.50
  4. Step 4: Simplify right side
    138,149.50x = 41,083,438,790.25
  5. Step 5: Solve for x
    x = 41,083,438,790.25/138,149.50
  6. Step 6: Final answer
    x = 297,383.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.