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Finding the Third Proportional to 34,000 and 39,040

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Solution

The third proportional to 34,000 and 39,040 is: 44,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000 : 39,040 = 39,040 : x
  2. Step 2: Convert to fraction form
    34,000/39,040 = 39,040/x
  3. Step 3: Cross multiply
    34,000x = 39,040 × 39,040
  4. Step 4: Simplify right side
    34,000x = 1,524,121,600
  5. Step 5: Solve for x
    x = 1,524,121,600/34,000
  6. Step 6: Final answer
    x = 44,827.11

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.