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Finding the Third Proportional to 56,065 and 66,305

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Solution

The third proportional to 56,065 and 66,305 is: 78,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,065 : 66,305 = 66,305 : x
  2. Step 2: Convert to fraction form
    56,065/66,305 = 66,305/x
  3. Step 3: Cross multiply
    56,065x = 66,305 × 66,305
  4. Step 4: Simplify right side
    56,065x = 4,396,353,025
  5. Step 5: Solve for x
    x = 4,396,353,025/56,065
  6. Step 6: Final answer
    x = 78,415.29

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.