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Finding the Third Proportional to 74,078 and 162,980

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Solution

The third proportional to 74,078 and 162,980 is: 358,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,078 : 162,980 = 162,980 : x
  2. Step 2: Convert to fraction form
    74,078/162,980 = 162,980/x
  3. Step 3: Cross multiply
    74,078x = 162,980 × 162,980
  4. Step 4: Simplify right side
    74,078x = 26,562,480,400
  5. Step 5: Solve for x
    x = 26,562,480,400/74,078
  6. Step 6: Final answer
    x = 358,574.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.