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Finding the Third Proportional to 30,800 and 45,048

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Solution

The third proportional to 30,800 and 45,048 is: 65,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800 : 45,048 = 45,048 : x
  2. Step 2: Convert to fraction form
    30,800/45,048 = 45,048/x
  3. Step 3: Cross multiply
    30,800x = 45,048 × 45,048
  4. Step 4: Simplify right side
    30,800x = 2,029,322,304
  5. Step 5: Solve for x
    x = 2,029,322,304/30,800
  6. Step 6: Final answer
    x = 65,887.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.