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Finding the Third Proportional to 30,206 and 71,069

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Solution

The third proportional to 30,206 and 71,069 is: 167,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206 : 71,069 = 71,069 : x
  2. Step 2: Convert to fraction form
    30,206/71,069 = 71,069/x
  3. Step 3: Cross multiply
    30,206x = 71,069 × 71,069
  4. Step 4: Simplify right side
    30,206x = 5,050,802,761
  5. Step 5: Solve for x
    x = 5,050,802,761/30,206
  6. Step 6: Final answer
    x = 167,211.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.