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Finding the Third Proportional to 137,411 and 298,318

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Solution

The third proportional to 137,411 and 298,318 is: 647,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411 : 298,318 = 298,318 : x
  2. Step 2: Convert to fraction form
    137,411/298,318 = 298,318/x
  3. Step 3: Cross multiply
    137,411x = 298,318 × 298,318
  4. Step 4: Simplify right side
    137,411x = 88,993,629,124
  5. Step 5: Solve for x
    x = 88,993,629,124/137,411
  6. Step 6: Final answer
    x = 647,645.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.