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Finding the Third Proportional to 209,520 and 299,241

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Solution

The third proportional to 209,520 and 299,241 is: 427,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,520 : 299,241 = 299,241 : x
  2. Step 2: Convert to fraction form
    209,520/299,241 = 299,241/x
  3. Step 3: Cross multiply
    209,520x = 299,241 × 299,241
  4. Step 4: Simplify right side
    209,520x = 89,545,176,081
  5. Step 5: Solve for x
    x = 89,545,176,081/209,520
  6. Step 6: Final answer
    x = 427,382.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.