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Finding the Third Proportional to 30,660 and 43,388

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Solution

The third proportional to 30,660 and 43,388 is: 61,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,660 : 43,388 = 43,388 : x
  2. Step 2: Convert to fraction form
    30,660/43,388 = 43,388/x
  3. Step 3: Cross multiply
    30,660x = 43,388 × 43,388
  4. Step 4: Simplify right side
    30,660x = 1,882,518,544
  5. Step 5: Solve for x
    x = 1,882,518,544/30,660
  6. Step 6: Final answer
    x = 61,399.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.