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Finding the Third Proportional to 55,397 and 120,817

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Solution

The third proportional to 55,397 and 120,817 is: 263,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,397 : 120,817 = 120,817 : x
  2. Step 2: Convert to fraction form
    55,397/120,817 = 120,817/x
  3. Step 3: Cross multiply
    55,397x = 120,817 × 120,817
  4. Step 4: Simplify right side
    55,397x = 14,596,747,489
  5. Step 5: Solve for x
    x = 14,596,747,489/55,397
  6. Step 6: Final answer
    x = 263,493.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.