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Finding the Third Proportional to 218,976.75 and 470,690.44

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Solution

The third proportional to 218,976.75 and 470,690.44 is: 1,011,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,976.75 : 470,690.44 = 470,690.44 : x
  2. Step 2: Convert to fraction form
    218,976.75/470,690.44 = 470,690.44/x
  3. Step 3: Cross multiply
    218,976.75x = 470,690.44 × 470,690.44
  4. Step 4: Simplify right side
    218,976.75x = 221,549,487,953.94
  5. Step 5: Solve for x
    x = 221,549,487,953.94/218,976.75
  6. Step 6: Final answer
    x = 1,011,748.91

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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.