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Finding the Third Proportional to 74,128 and 162,100

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Solution

The third proportional to 74,128 and 162,100 is: 354,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,128 : 162,100 = 162,100 : x
  2. Step 2: Convert to fraction form
    74,128/162,100 = 162,100/x
  3. Step 3: Cross multiply
    74,128x = 162,100 × 162,100
  4. Step 4: Simplify right side
    74,128x = 26,276,410,000
  5. Step 5: Solve for x
    x = 26,276,410,000/74,128
  6. Step 6: Final answer
    x = 354,473.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.