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Finding the Third Proportional to 218,874 and 470,444

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Solution

The third proportional to 218,874 and 470,444 is: 1,011,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,874 : 470,444 = 470,444 : x
  2. Step 2: Convert to fraction form
    218,874/470,444 = 470,444/x
  3. Step 3: Cross multiply
    218,874x = 470,444 × 470,444
  4. Step 4: Simplify right side
    218,874x = 221,317,557,136
  5. Step 5: Solve for x
    x = 221,317,557,136/218,874
  6. Step 6: Final answer
    x = 1,011,164.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.