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Finding the Third Proportional to 209,560 and 428,805

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Solution

The third proportional to 209,560 and 428,805 is: 877,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,560 : 428,805 = 428,805 : x
  2. Step 2: Convert to fraction form
    209,560/428,805 = 428,805/x
  3. Step 3: Cross multiply
    209,560x = 428,805 × 428,805
  4. Step 4: Simplify right side
    209,560x = 183,873,728,025
  5. Step 5: Solve for x
    x = 183,873,728,025/209,560
  6. Step 6: Final answer
    x = 877,427.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.