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Finding the Third Proportional to 140,121 and 306,542

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Solution

The third proportional to 140,121 and 306,542 is: 670,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,121 : 306,542 = 306,542 : x
  2. Step 2: Convert to fraction form
    140,121/306,542 = 306,542/x
  3. Step 3: Cross multiply
    140,121x = 306,542 × 306,542
  4. Step 4: Simplify right side
    140,121x = 93,967,997,764
  5. Step 5: Solve for x
    x = 93,967,997,764/140,121
  6. Step 6: Final answer
    x = 670,620.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.