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Finding the Third Proportional to 19,841.50 and 26,946.88

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Solution

The third proportional to 19,841.50 and 26,946.88 is: 36,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.50 : 26,946.88 = 26,946.88 : x
  2. Step 2: Convert to fraction form
    19,841.50/26,946.88 = 26,946.88/x
  3. Step 3: Cross multiply
    19,841.50x = 26,946.88 × 26,946.88
  4. Step 4: Simplify right side
    19,841.50x = 726,134,072.27
  5. Step 5: Solve for x
    x = 726,134,072.27/19,841.50
  6. Step 6: Final answer
    x = 36,596.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.