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Finding the Third Proportional to 128,124 and 294,912

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Solution

The third proportional to 128,124 and 294,912 is: 678,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,124 : 294,912 = 294,912 : x
  2. Step 2: Convert to fraction form
    128,124/294,912 = 294,912/x
  3. Step 3: Cross multiply
    128,124x = 294,912 × 294,912
  4. Step 4: Simplify right side
    128,124x = 86,973,087,744
  5. Step 5: Solve for x
    x = 86,973,087,744/128,124
  6. Step 6: Final answer
    x = 678,819.64

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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.