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Finding the Third Proportional to 84,856 and 128,356

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Solution

The third proportional to 84,856 and 128,356 is: 194,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,856 : 128,356 = 128,356 : x
  2. Step 2: Convert to fraction form
    84,856/128,356 = 128,356/x
  3. Step 3: Cross multiply
    84,856x = 128,356 × 128,356
  4. Step 4: Simplify right side
    84,856x = 16,475,262,736
  5. Step 5: Solve for x
    x = 16,475,262,736/84,856
  6. Step 6: Final answer
    x = 194,155.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.