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Finding the Third Proportional to 185,009 and 401,122

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Solution

The third proportional to 185,009 and 401,122 is: 869,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,009 : 401,122 = 401,122 : x
  2. Step 2: Convert to fraction form
    185,009/401,122 = 401,122/x
  3. Step 3: Cross multiply
    185,009x = 401,122 × 401,122
  4. Step 4: Simplify right side
    185,009x = 160,898,858,884
  5. Step 5: Solve for x
    x = 160,898,858,884/185,009
  6. Step 6: Final answer
    x = 869,681.25

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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.