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Finding the Third Proportional to 69,130 and 161,881

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Solution

The third proportional to 69,130 and 161,881 is: 379,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,130 : 161,881 = 161,881 : x
  2. Step 2: Convert to fraction form
    69,130/161,881 = 161,881/x
  3. Step 3: Cross multiply
    69,130x = 161,881 × 161,881
  4. Step 4: Simplify right side
    69,130x = 26,205,458,161
  5. Step 5: Solve for x
    x = 26,205,458,161/69,130
  6. Step 6: Final answer
    x = 379,075.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.