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Finding the Third Proportional to 209,115 and 324,257

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Solution

The third proportional to 209,115 and 324,257 is: 502,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,115 : 324,257 = 324,257 : x
  2. Step 2: Convert to fraction form
    209,115/324,257 = 324,257/x
  3. Step 3: Cross multiply
    209,115x = 324,257 × 324,257
  4. Step 4: Simplify right side
    209,115x = 105,142,602,049
  5. Step 5: Solve for x
    x = 105,142,602,049/209,115
  6. Step 6: Final answer
    x = 502,797.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.