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Finding the Third Proportional to 137,175.75 and 206,128.13

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Solution

The third proportional to 137,175.75 and 206,128.13 is: 309,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,175.75 : 206,128.13 = 206,128.13 : x
  2. Step 2: Convert to fraction form
    137,175.75/206,128.13 = 206,128.13/x
  3. Step 3: Cross multiply
    137,175.75x = 206,128.13 × 206,128.13
  4. Step 4: Simplify right side
    137,175.75x = 42,488,803,916.02
  5. Step 5: Solve for x
    x = 42,488,803,916.02/137,175.75
  6. Step 6: Final answer
    x = 309,739.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.