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Finding the Third Proportional to 104,172 and 215,729

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Solution

The third proportional to 104,172 and 215,729 is: 446,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,172 : 215,729 = 215,729 : x
  2. Step 2: Convert to fraction form
    104,172/215,729 = 215,729/x
  3. Step 3: Cross multiply
    104,172x = 215,729 × 215,729
  4. Step 4: Simplify right side
    104,172x = 46,539,001,441
  5. Step 5: Solve for x
    x = 46,539,001,441/104,172
  6. Step 6: Final answer
    x = 446,751.54

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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.