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Finding the Third Proportional to 84,110 and 128,794

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Solution

The third proportional to 84,110 and 128,794 is: 197,216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,110 : 128,794 = 128,794 : x
  2. Step 2: Convert to fraction form
    84,110/128,794 = 128,794/x
  3. Step 3: Cross multiply
    84,110x = 128,794 × 128,794
  4. Step 4: Simplify right side
    84,110x = 16,587,894,436
  5. Step 5: Solve for x
    x = 16,587,894,436/84,110
  6. Step 6: Final answer
    x = 197,216.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.