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Finding the Third Proportional to 30,016 and 65,120

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Solution

The third proportional to 30,016 and 65,120 is: 141,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016 : 65,120 = 65,120 : x
  2. Step 2: Convert to fraction form
    30,016/65,120 = 65,120/x
  3. Step 3: Cross multiply
    30,016x = 65,120 × 65,120
  4. Step 4: Simplify right side
    30,016x = 4,240,614,400
  5. Step 5: Solve for x
    x = 4,240,614,400/30,016
  6. Step 6: Final answer
    x = 141,278.46

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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.