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Finding the Third Proportional to 208,878 and 304,383

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Solution

The third proportional to 208,878 and 304,383 is: 443,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,878 : 304,383 = 304,383 : x
  2. Step 2: Convert to fraction form
    208,878/304,383 = 304,383/x
  3. Step 3: Cross multiply
    208,878x = 304,383 × 304,383
  4. Step 4: Simplify right side
    208,878x = 92,649,010,689
  5. Step 5: Solve for x
    x = 92,649,010,689/208,878
  6. Step 6: Final answer
    x = 443,555.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.