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Finding the Third Proportional to 139,246 and 294,366

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Solution

The third proportional to 139,246 and 294,366 is: 622,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,246 : 294,366 = 294,366 : x
  2. Step 2: Convert to fraction form
    139,246/294,366 = 294,366/x
  3. Step 3: Cross multiply
    139,246x = 294,366 × 294,366
  4. Step 4: Simplify right side
    139,246x = 86,651,341,956
  5. Step 5: Solve for x
    x = 86,651,341,956/139,246
  6. Step 6: Final answer
    x = 622,289.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.