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Finding the Third Proportional to 621,243 and 850,121

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Solution

The third proportional to 621,243 and 850,121 is: 1,163,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,243 : 850,121 = 850,121 : x
  2. Step 2: Convert to fraction form
    621,243/850,121 = 850,121/x
  3. Step 3: Cross multiply
    621,243x = 850,121 × 850,121
  4. Step 4: Simplify right side
    621,243x = 722,705,714,641
  5. Step 5: Solve for x
    x = 722,705,714,641/621,243
  6. Step 6: Final answer
    x = 1,163,322.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.