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Finding the Third Proportional to 139,077 and 297,843.75

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Solution

The third proportional to 139,077 and 297,843.75 is: 637,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,077 : 297,843.75 = 297,843.75 : x
  2. Step 2: Convert to fraction form
    139,077/297,843.75 = 297,843.75/x
  3. Step 3: Cross multiply
    139,077x = 297,843.75 × 297,843.75
  4. Step 4: Simplify right side
    139,077x = 88,710,899,414.06
  5. Step 5: Solve for x
    x = 88,710,899,414.06/139,077
  6. Step 6: Final answer
    x = 637,854.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.