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Finding the Third Proportional to 98,421 and 209,145

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Solution

The third proportional to 98,421 and 209,145 is: 444,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,421 : 209,145 = 209,145 : x
  2. Step 2: Convert to fraction form
    98,421/209,145 = 209,145/x
  3. Step 3: Cross multiply
    98,421x = 209,145 × 209,145
  4. Step 4: Simplify right side
    98,421x = 43,741,631,025
  5. Step 5: Solve for x
    x = 43,741,631,025/98,421
  6. Step 6: Final answer
    x = 444,433.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.