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Finding the Third Proportional to 128,126 and 294,917

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Solution

The third proportional to 128,126 and 294,917 is: 678,832.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,126 : 294,917 = 294,917 : x
  2. Step 2: Convert to fraction form
    128,126/294,917 = 294,917/x
  3. Step 3: Cross multiply
    128,126x = 294,917 × 294,917
  4. Step 4: Simplify right side
    128,126x = 86,976,036,889
  5. Step 5: Solve for x
    x = 86,976,036,889/128,126
  6. Step 6: Final answer
    x = 678,832.06

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.