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Finding the Third Proportional to 86,920 and 209,323

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Solution

The third proportional to 86,920 and 209,323 is: 504,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920 : 209,323 = 209,323 : x
  2. Step 2: Convert to fraction form
    86,920/209,323 = 209,323/x
  3. Step 3: Cross multiply
    86,920x = 209,323 × 209,323
  4. Step 4: Simplify right side
    86,920x = 43,816,118,329
  5. Step 5: Solve for x
    x = 43,816,118,329/86,920
  6. Step 6: Final answer
    x = 504,097.08

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.