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Finding the Third Proportional to 161,058 and 342,858

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Solution

The third proportional to 161,058 and 342,858 is: 729,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,058 : 342,858 = 342,858 : x
  2. Step 2: Convert to fraction form
    161,058/342,858 = 342,858/x
  3. Step 3: Cross multiply
    161,058x = 342,858 × 342,858
  4. Step 4: Simplify right side
    161,058x = 117,551,608,164
  5. Step 5: Solve for x
    x = 117,551,608,164/161,058
  6. Step 6: Final answer
    x = 729,871.28

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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.