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Finding the Third Proportional to 137,640 and 193,820

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Solution

The third proportional to 137,640 and 193,820 is: 272,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640 : 193,820 = 193,820 : x
  2. Step 2: Convert to fraction form
    137,640/193,820 = 193,820/x
  3. Step 3: Cross multiply
    137,640x = 193,820 × 193,820
  4. Step 4: Simplify right side
    137,640x = 37,566,192,400
  5. Step 5: Solve for x
    x = 37,566,192,400/137,640
  6. Step 6: Final answer
    x = 272,930.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.