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Finding the Third Proportional to 74,646 and 162,420

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Solution

The third proportional to 74,646 and 162,420 is: 353,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,646 : 162,420 = 162,420 : x
  2. Step 2: Convert to fraction form
    74,646/162,420 = 162,420/x
  3. Step 3: Cross multiply
    74,646x = 162,420 × 162,420
  4. Step 4: Simplify right side
    74,646x = 26,380,256,400
  5. Step 5: Solve for x
    x = 26,380,256,400/74,646
  6. Step 6: Final answer
    x = 353,404.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.