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Finding the Third Proportional to 161,026 and 378,889

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Solution

The third proportional to 161,026 and 378,889 is: 891,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,026 : 378,889 = 378,889 : x
  2. Step 2: Convert to fraction form
    161,026/378,889 = 378,889/x
  3. Step 3: Cross multiply
    161,026x = 378,889 × 378,889
  4. Step 4: Simplify right side
    161,026x = 143,556,874,321
  5. Step 5: Solve for x
    x = 143,556,874,321/161,026
  6. Step 6: Final answer
    x = 891,513.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.