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Finding the Third Proportional to 208,135 and 309,898

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Solution

The third proportional to 208,135 and 309,898 is: 461,415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,135 : 309,898 = 309,898 : x
  2. Step 2: Convert to fraction form
    208,135/309,898 = 309,898/x
  3. Step 3: Cross multiply
    208,135x = 309,898 × 309,898
  4. Step 4: Simplify right side
    208,135x = 96,036,770,404
  5. Step 5: Solve for x
    x = 96,036,770,404/208,135
  6. Step 6: Final answer
    x = 461,415.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.