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Finding the Third Proportional to 137,611 and 210,520

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Solution

The third proportional to 137,611 and 210,520 is: 322,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,611 : 210,520 = 210,520 : x
  2. Step 2: Convert to fraction form
    137,611/210,520 = 210,520/x
  3. Step 3: Cross multiply
    137,611x = 210,520 × 210,520
  4. Step 4: Simplify right side
    137,611x = 44,318,670,400
  5. Step 5: Solve for x
    x = 44,318,670,400/137,611
  6. Step 6: Final answer
    x = 322,057.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.