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Finding the Third Proportional to 84,775 and 128,256

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Solution

The third proportional to 84,775 and 128,256 is: 194,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,775 : 128,256 = 128,256 : x
  2. Step 2: Convert to fraction form
    84,775/128,256 = 128,256/x
  3. Step 3: Cross multiply
    84,775x = 128,256 × 128,256
  4. Step 4: Simplify right side
    84,775x = 16,449,601,536
  5. Step 5: Solve for x
    x = 16,449,601,536/84,775
  6. Step 6: Final answer
    x = 194,038.35

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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.