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Finding the Third Proportional to 19,209 and 41,920

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Solution

The third proportional to 19,209 and 41,920 is: 91,482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,209 : 41,920 = 41,920 : x
  2. Step 2: Convert to fraction form
    19,209/41,920 = 41,920/x
  3. Step 3: Cross multiply
    19,209x = 41,920 × 41,920
  4. Step 4: Simplify right side
    19,209x = 1,757,286,400
  5. Step 5: Solve for x
    x = 1,757,286,400/19,209
  6. Step 6: Final answer
    x = 91,482.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.