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Finding the Third Proportional to 30,834 and 42,255

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Solution

The third proportional to 30,834 and 42,255 is: 57,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834 : 42,255 = 42,255 : x
  2. Step 2: Convert to fraction form
    30,834/42,255 = 42,255/x
  3. Step 3: Cross multiply
    30,834x = 42,255 × 42,255
  4. Step 4: Simplify right side
    30,834x = 1,785,485,025
  5. Step 5: Solve for x
    x = 1,785,485,025/30,834
  6. Step 6: Final answer
    x = 57,906.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.