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Finding the Third Proportional to 30,169 and 69,947

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Solution

The third proportional to 30,169 and 69,947 is: 162,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169 : 69,947 = 69,947 : x
  2. Step 2: Convert to fraction form
    30,169/69,947 = 69,947/x
  3. Step 3: Cross multiply
    30,169x = 69,947 × 69,947
  4. Step 4: Simplify right side
    30,169x = 4,892,582,809
  5. Step 5: Solve for x
    x = 4,892,582,809/30,169
  6. Step 6: Final answer
    x = 162,172.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.