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Finding the Third Proportional to 60,318 and 85,257

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Solution

The third proportional to 60,318 and 85,257 is: 120,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,318 : 85,257 = 85,257 : x
  2. Step 2: Convert to fraction form
    60,318/85,257 = 85,257/x
  3. Step 3: Cross multiply
    60,318x = 85,257 × 85,257
  4. Step 4: Simplify right side
    60,318x = 7,268,756,049
  5. Step 5: Solve for x
    x = 7,268,756,049/60,318
  6. Step 6: Final answer
    x = 120,507.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.