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Finding the Third Proportional to 104,178 and 215,740

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Solution

The third proportional to 104,178 and 215,740 is: 446,771.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,178 : 215,740 = 215,740 : x
  2. Step 2: Convert to fraction form
    104,178/215,740 = 215,740/x
  3. Step 3: Cross multiply
    104,178x = 215,740 × 215,740
  4. Step 4: Simplify right side
    104,178x = 46,543,747,600
  5. Step 5: Solve for x
    x = 46,543,747,600/104,178
  6. Step 6: Final answer
    x = 446,771.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.