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Finding the Third Proportional to 19,918 and 28,322

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Solution

The third proportional to 19,918 and 28,322 is: 40,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,918 : 28,322 = 28,322 : x
  2. Step 2: Convert to fraction form
    19,918/28,322 = 28,322/x
  3. Step 3: Cross multiply
    19,918x = 28,322 × 28,322
  4. Step 4: Simplify right side
    19,918x = 802,135,684
  5. Step 5: Solve for x
    x = 802,135,684/19,918
  6. Step 6: Final answer
    x = 40,271.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.