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Finding the Third Proportional to 217,869 and 470,148

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Solution

The third proportional to 217,869 and 470,148 is: 1,014,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,869 : 470,148 = 470,148 : x
  2. Step 2: Convert to fraction form
    217,869/470,148 = 470,148/x
  3. Step 3: Cross multiply
    217,869x = 470,148 × 470,148
  4. Step 4: Simplify right side
    217,869x = 221,039,141,904
  5. Step 5: Solve for x
    x = 221,039,141,904/217,869
  6. Step 6: Final answer
    x = 1,014,550.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.