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Finding the Third Proportional to 85,138 and 128,890

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Solution

The third proportional to 85,138 and 128,890 is: 195,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138 : 128,890 = 128,890 : x
  2. Step 2: Convert to fraction form
    85,138/128,890 = 128,890/x
  3. Step 3: Cross multiply
    85,138x = 128,890 × 128,890
  4. Step 4: Simplify right side
    85,138x = 16,612,632,100
  5. Step 5: Solve for x
    x = 16,612,632,100/85,138
  6. Step 6: Final answer
    x = 195,125.94

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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.