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Finding the Third Proportional to 34,740 and 74,839

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Solution

The third proportional to 34,740 and 74,839 is: 161,222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740 : 74,839 = 74,839 : x
  2. Step 2: Convert to fraction form
    34,740/74,839 = 74,839/x
  3. Step 3: Cross multiply
    34,740x = 74,839 × 74,839
  4. Step 4: Simplify right side
    34,740x = 5,600,875,921
  5. Step 5: Solve for x
    x = 5,600,875,921/34,740
  6. Step 6: Final answer
    x = 161,222.68

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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.