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Finding the Third Proportional to 213,987 and 455,622

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Solution

The third proportional to 213,987 and 455,622 is: 970,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,987 : 455,622 = 455,622 : x
  2. Step 2: Convert to fraction form
    213,987/455,622 = 455,622/x
  3. Step 3: Cross multiply
    213,987x = 455,622 × 455,622
  4. Step 4: Simplify right side
    213,987x = 207,591,406,884
  5. Step 5: Solve for x
    x = 207,591,406,884/213,987
  6. Step 6: Final answer
    x = 970,112.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.