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Finding the Third Proportional to 209,566 and 428,816

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Solution

The third proportional to 209,566 and 428,816 is: 877,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,566 : 428,816 = 428,816 : x
  2. Step 2: Convert to fraction form
    209,566/428,816 = 428,816/x
  3. Step 3: Cross multiply
    209,566x = 428,816 × 428,816
  4. Step 4: Simplify right side
    209,566x = 183,883,161,856
  5. Step 5: Solve for x
    x = 183,883,161,856/209,566
  6. Step 6: Final answer
    x = 877,447.50

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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.