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Finding the Third Proportional to 122,811 and 195,288

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Solution

The third proportional to 122,811 and 195,288 is: 310,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,811 : 195,288 = 195,288 : x
  2. Step 2: Convert to fraction form
    122,811/195,288 = 195,288/x
  3. Step 3: Cross multiply
    122,811x = 195,288 × 195,288
  4. Step 4: Simplify right side
    122,811x = 38,137,402,944
  5. Step 5: Solve for x
    x = 38,137,402,944/122,811
  6. Step 6: Final answer
    x = 310,537.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.