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Finding the Third Proportional to 218,738 and 475,420

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Solution

The third proportional to 218,738 and 475,420 is: 1,033,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,738 : 475,420 = 475,420 : x
  2. Step 2: Convert to fraction form
    218,738/475,420 = 475,420/x
  3. Step 3: Cross multiply
    218,738x = 475,420 × 475,420
  4. Step 4: Simplify right side
    218,738x = 226,024,176,400
  5. Step 5: Solve for x
    x = 226,024,176,400/218,738
  6. Step 6: Final answer
    x = 1,033,310.06

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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.