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Finding the Third Proportional to 19,209 and 40,697

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Solution

The third proportional to 19,209 and 40,697 is: 86,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209 : 40,697 = 40,697 : x
  2. Step 2: Convert to fraction form
    19,209/40,697 = 40,697/x
  3. Step 3: Cross multiply
    19,209x = 40,697 × 40,697
  4. Step 4: Simplify right side
    19,209x = 1,656,245,809
  5. Step 5: Solve for x
    x = 1,656,245,809/19,209
  6. Step 6: Final answer
    x = 86,222.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.