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Finding the Third Proportional to 218,180 and 470,788

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Solution

The third proportional to 218,180 and 470,788 is: 1,015,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,180 : 470,788 = 470,788 : x
  2. Step 2: Convert to fraction form
    218,180/470,788 = 470,788/x
  3. Step 3: Cross multiply
    218,180x = 470,788 × 470,788
  4. Step 4: Simplify right side
    218,180x = 221,641,340,944
  5. Step 5: Solve for x
    x = 221,641,340,944/218,180
  6. Step 6: Final answer
    x = 1,015,864.61

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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.