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Finding the Third Proportional to 209,569 and 428,822

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Solution

The third proportional to 209,569 and 428,822 is: 877,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,569 : 428,822 = 428,822 : x
  2. Step 2: Convert to fraction form
    209,569/428,822 = 428,822/x
  3. Step 3: Cross multiply
    209,569x = 428,822 × 428,822
  4. Step 4: Simplify right side
    209,569x = 183,888,307,684
  5. Step 5: Solve for x
    x = 183,888,307,684/209,569
  6. Step 6: Final answer
    x = 877,459.49

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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.