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Finding the Third Proportional to 218,314 and 469,828

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Solution

The third proportional to 218,314 and 469,828 is: 1,011,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,314 : 469,828 = 469,828 : x
  2. Step 2: Convert to fraction form
    218,314/469,828 = 469,828/x
  3. Step 3: Cross multiply
    218,314x = 469,828 × 469,828
  4. Step 4: Simplify right side
    218,314x = 220,738,349,584
  5. Step 5: Solve for x
    x = 220,738,349,584/218,314
  6. Step 6: Final answer
    x = 1,011,104.87

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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.