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Finding the Third Proportional to 33,590 and 69,340

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Solution

The third proportional to 33,590 and 69,340 is: 143,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,590 : 69,340 = 69,340 : x
  2. Step 2: Convert to fraction form
    33,590/69,340 = 69,340/x
  3. Step 3: Cross multiply
    33,590x = 69,340 × 69,340
  4. Step 4: Simplify right side
    33,590x = 4,808,035,600
  5. Step 5: Solve for x
    x = 4,808,035,600/33,590
  6. Step 6: Final answer
    x = 143,138.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.