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Finding the Third Proportional to 208,881 and 428,823

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Solution

The third proportional to 208,881 and 428,823 is: 880,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,881 : 428,823 = 428,823 : x
  2. Step 2: Convert to fraction form
    208,881/428,823 = 428,823/x
  3. Step 3: Cross multiply
    208,881x = 428,823 × 428,823
  4. Step 4: Simplify right side
    208,881x = 183,889,165,329
  5. Step 5: Solve for x
    x = 183,889,165,329/208,881
  6. Step 6: Final answer
    x = 880,353.72

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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.