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Finding the Third Proportional to 208,886 and 428,832

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Solution

The third proportional to 208,886 and 428,832 is: 880,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,886 : 428,832 = 428,832 : x
  2. Step 2: Convert to fraction form
    208,886/428,832 = 428,832/x
  3. Step 3: Cross multiply
    208,886x = 428,832 × 428,832
  4. Step 4: Simplify right side
    208,886x = 183,896,884,224
  5. Step 5: Solve for x
    x = 183,896,884,224/208,886
  6. Step 6: Final answer
    x = 880,369.60

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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.