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Finding the Third Proportional to 56,440 and 122,611

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Solution

The third proportional to 56,440 and 122,611 is: 266,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,440 : 122,611 = 122,611 : x
  2. Step 2: Convert to fraction form
    56,440/122,611 = 122,611/x
  3. Step 3: Cross multiply
    56,440x = 122,611 × 122,611
  4. Step 4: Simplify right side
    56,440x = 15,033,457,321
  5. Step 5: Solve for x
    x = 15,033,457,321/56,440
  6. Step 6: Final answer
    x = 266,361.75

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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.