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Finding the Third Proportional to 85,400 and 125,890

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Solution

The third proportional to 85,400 and 125,890 is: 185,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,400 : 125,890 = 125,890 : x
  2. Step 2: Convert to fraction form
    85,400/125,890 = 125,890/x
  3. Step 3: Cross multiply
    85,400x = 125,890 × 125,890
  4. Step 4: Simplify right side
    85,400x = 15,848,292,100
  5. Step 5: Solve for x
    x = 15,848,292,100/85,400
  6. Step 6: Final answer
    x = 185,577.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.