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Finding the Third Proportional to 29,809 and 61,538

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Solution

The third proportional to 29,809 and 61,538 is: 127,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809 : 61,538 = 61,538 : x
  2. Step 2: Convert to fraction form
    29,809/61,538 = 61,538/x
  3. Step 3: Cross multiply
    29,809x = 61,538 × 61,538
  4. Step 4: Simplify right side
    29,809x = 3,786,925,444
  5. Step 5: Solve for x
    x = 3,786,925,444/29,809
  6. Step 6: Final answer
    x = 127,039.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.