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Finding the Third Proportional to 74,774 and 164,078

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Solution

The third proportional to 74,774 and 164,078 is: 360,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,774 : 164,078 = 164,078 : x
  2. Step 2: Convert to fraction form
    74,774/164,078 = 164,078/x
  3. Step 3: Cross multiply
    74,774x = 164,078 × 164,078
  4. Step 4: Simplify right side
    74,774x = 26,921,590,084
  5. Step 5: Solve for x
    x = 26,921,590,084/74,774
  6. Step 6: Final answer
    x = 360,039.45

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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.