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Finding the Third Proportional to 74,512 and 161,642

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Solution

The third proportional to 74,512 and 161,642 is: 350,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,512 : 161,642 = 161,642 : x
  2. Step 2: Convert to fraction form
    74,512/161,642 = 161,642/x
  3. Step 3: Cross multiply
    74,512x = 161,642 × 161,642
  4. Step 4: Simplify right side
    74,512x = 26,128,136,164
  5. Step 5: Solve for x
    x = 26,128,136,164/74,512
  6. Step 6: Final answer
    x = 350,656.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.