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Finding the Third Proportional to 60,395 and 128,099

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Solution

The third proportional to 60,395 and 128,099 is: 271,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,395 : 128,099 = 128,099 : x
  2. Step 2: Convert to fraction form
    60,395/128,099 = 128,099/x
  3. Step 3: Cross multiply
    60,395x = 128,099 × 128,099
  4. Step 4: Simplify right side
    60,395x = 16,409,353,801
  5. Step 5: Solve for x
    x = 16,409,353,801/60,395
  6. Step 6: Final answer
    x = 271,700.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.