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Finding the Third Proportional to 34,544 and 74,602

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Solution

The third proportional to 34,544 and 74,602 is: 161,112.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,544 : 74,602 = 74,602 : x
  2. Step 2: Convert to fraction form
    34,544/74,602 = 74,602/x
  3. Step 3: Cross multiply
    34,544x = 74,602 × 74,602
  4. Step 4: Simplify right side
    34,544x = 5,565,458,404
  5. Step 5: Solve for x
    x = 5,565,458,404/34,544
  6. Step 6: Final answer
    x = 161,112.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.