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Finding the Third Proportional to 215,739.75 and 469,356

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Solution

The third proportional to 215,739.75 and 469,356 is: 1,021,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,739.75 : 469,356 = 469,356 : x
  2. Step 2: Convert to fraction form
    215,739.75/469,356 = 469,356/x
  3. Step 3: Cross multiply
    215,739.75x = 469,356 × 469,356
  4. Step 4: Simplify right side
    215,739.75x = 220,295,054,736
  5. Step 5: Solve for x
    x = 220,295,054,736/215,739.75
  6. Step 6: Final answer
    x = 1,021,114.81

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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.