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Finding the Third Proportional to 208,137 and 309,901

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Solution

The third proportional to 208,137 and 309,901 is: 461,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,137 : 309,901 = 309,901 : x
  2. Step 2: Convert to fraction form
    208,137/309,901 = 309,901/x
  3. Step 3: Cross multiply
    208,137x = 309,901 × 309,901
  4. Step 4: Simplify right side
    208,137x = 96,038,629,801
  5. Step 5: Solve for x
    x = 96,038,629,801/208,137
  6. Step 6: Final answer
    x = 461,420.27

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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.