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Finding the Third Proportional to 30,000 and 39,696

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Solution

The third proportional to 30,000 and 39,696 is: 52,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000 : 39,696 = 39,696 : x
  2. Step 2: Convert to fraction form
    30,000/39,696 = 39,696/x
  3. Step 3: Cross multiply
    30,000x = 39,696 × 39,696
  4. Step 4: Simplify right side
    30,000x = 1,575,772,416
  5. Step 5: Solve for x
    x = 1,575,772,416/30,000
  6. Step 6: Final answer
    x = 52,525.75

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.