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Finding the Third Proportional to 128,038 and 279,356

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Solution

The third proportional to 128,038 and 279,356 is: 609,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,038 : 279,356 = 279,356 : x
  2. Step 2: Convert to fraction form
    128,038/279,356 = 279,356/x
  3. Step 3: Cross multiply
    128,038x = 279,356 × 279,356
  4. Step 4: Simplify right side
    128,038x = 78,039,774,736
  5. Step 5: Solve for x
    x = 78,039,774,736/128,038
  6. Step 6: Final answer
    x = 609,504.79

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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.