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Finding the Third Proportional to 275,846 and 401,781

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Solution

The third proportional to 275,846 and 401,781 is: 585,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,846 : 401,781 = 401,781 : x
  2. Step 2: Convert to fraction form
    275,846/401,781 = 401,781/x
  3. Step 3: Cross multiply
    275,846x = 401,781 × 401,781
  4. Step 4: Simplify right side
    275,846x = 161,427,971,961
  5. Step 5: Solve for x
    x = 161,427,971,961/275,846
  6. Step 6: Final answer
    x = 585,210.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.