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Finding the Third Proportional to 30,704 and 66,106

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Solution

The third proportional to 30,704 and 66,106 is: 142,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704 : 66,106 = 66,106 : x
  2. Step 2: Convert to fraction form
    30,704/66,106 = 66,106/x
  3. Step 3: Cross multiply
    30,704x = 66,106 × 66,106
  4. Step 4: Simplify right side
    30,704x = 4,370,003,236
  5. Step 5: Solve for x
    x = 4,370,003,236/30,704
  6. Step 6: Final answer
    x = 142,326.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.