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Finding the Third Proportional to 74,801 and 163,678

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Solution

The third proportional to 74,801 and 163,678 is: 358,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,801 : 163,678 = 163,678 : x
  2. Step 2: Convert to fraction form
    74,801/163,678 = 163,678/x
  3. Step 3: Cross multiply
    74,801x = 163,678 × 163,678
  4. Step 4: Simplify right side
    74,801x = 26,790,487,684
  5. Step 5: Solve for x
    x = 26,790,487,684/74,801
  6. Step 6: Final answer
    x = 358,156.81

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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.