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Finding the Third Proportional to 171,237 and 268,611

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Solution

The third proportional to 171,237 and 268,611 is: 421,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,237 : 268,611 = 268,611 : x
  2. Step 2: Convert to fraction form
    171,237/268,611 = 268,611/x
  3. Step 3: Cross multiply
    171,237x = 268,611 × 268,611
  4. Step 4: Simplify right side
    171,237x = 72,151,869,321
  5. Step 5: Solve for x
    x = 72,151,869,321/171,237
  6. Step 6: Final answer
    x = 421,356.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.