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Finding the Third Proportional to 128,318 and 279,928

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Solution

The third proportional to 128,318 and 279,928 is: 610,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,318 : 279,928 = 279,928 : x
  2. Step 2: Convert to fraction form
    128,318/279,928 = 279,928/x
  3. Step 3: Cross multiply
    128,318x = 279,928 × 279,928
  4. Step 4: Simplify right side
    128,318x = 78,359,685,184
  5. Step 5: Solve for x
    x = 78,359,685,184/128,318
  6. Step 6: Final answer
    x = 610,667.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.