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Finding the Third Proportional to 218,736 and 475,416

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Solution

The third proportional to 218,736 and 475,416 is: 1,033,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,736 : 475,416 = 475,416 : x
  2. Step 2: Convert to fraction form
    218,736/475,416 = 475,416/x
  3. Step 3: Cross multiply
    218,736x = 475,416 × 475,416
  4. Step 4: Simplify right side
    218,736x = 226,020,373,056
  5. Step 5: Solve for x
    x = 226,020,373,056/218,736
  6. Step 6: Final answer
    x = 1,033,302.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.