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Finding the Third Proportional to 34,809 and 74,538

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Solution

The third proportional to 34,809 and 74,538 is: 159,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809 : 74,538 = 74,538 : x
  2. Step 2: Convert to fraction form
    34,809/74,538 = 74,538/x
  3. Step 3: Cross multiply
    34,809x = 74,538 × 74,538
  4. Step 4: Simplify right side
    34,809x = 5,555,913,444
  5. Step 5: Solve for x
    x = 5,555,913,444/34,809
  6. Step 6: Final answer
    x = 159,611.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.