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Finding the Third Proportional to 55,006 and 85,318

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Solution

The third proportional to 55,006 and 85,318 is: 132,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,006 : 85,318 = 85,318 : x
  2. Step 2: Convert to fraction form
    55,006/85,318 = 85,318/x
  3. Step 3: Cross multiply
    55,006x = 85,318 × 85,318
  4. Step 4: Simplify right side
    55,006x = 7,279,161,124
  5. Step 5: Solve for x
    x = 7,279,161,124/55,006
  6. Step 6: Final answer
    x = 132,333.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.