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Finding the Third Proportional to 218,975.91 and 470,685.94

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Solution

The third proportional to 218,975.91 and 470,685.94 is: 1,011,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,975.91 : 470,685.94 = 470,685.94 : x
  2. Step 2: Convert to fraction form
    218,975.91/470,685.94 = 470,685.94/x
  3. Step 3: Cross multiply
    218,975.91x = 470,685.94 × 470,685.94
  4. Step 4: Simplify right side
    218,975.91x = 221,545,251,760.25
  5. Step 5: Solve for x
    x = 221,545,251,760.25/218,975.91
  6. Step 6: Final answer
    x = 1,011,733.46

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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.