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Finding the Third Proportional to 208,607 and 428,272.75

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Solution

The third proportional to 208,607 and 428,272.75 is: 879,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,607 : 428,272.75 = 428,272.75 : x
  2. Step 2: Convert to fraction form
    208,607/428,272.75 = 428,272.75/x
  3. Step 3: Cross multiply
    208,607x = 428,272.75 × 428,272.75
  4. Step 4: Simplify right side
    208,607x = 183,417,548,392.56
  5. Step 5: Solve for x
    x = 183,417,548,392.56/208,607
  6. Step 6: Final answer
    x = 879,249.25

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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.