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Finding the Third Proportional to 34,043 and 74,806

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Solution

The third proportional to 34,043 and 74,806 is: 164,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,043 : 74,806 = 74,806 : x
  2. Step 2: Convert to fraction form
    34,043/74,806 = 74,806/x
  3. Step 3: Cross multiply
    34,043x = 74,806 × 74,806
  4. Step 4: Simplify right side
    34,043x = 5,595,937,636
  5. Step 5: Solve for x
    x = 5,595,937,636/34,043
  6. Step 6: Final answer
    x = 164,378.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.