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Finding the Third Proportional to 30,440 and 66,016

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Solution

The third proportional to 30,440 and 66,016 is: 143,170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,440 : 66,016 = 66,016 : x
  2. Step 2: Convert to fraction form
    30,440/66,016 = 66,016/x
  3. Step 3: Cross multiply
    30,440x = 66,016 × 66,016
  4. Step 4: Simplify right side
    30,440x = 4,358,112,256
  5. Step 5: Solve for x
    x = 4,358,112,256/30,440
  6. Step 6: Final answer
    x = 143,170.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.