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Finding the Third Proportional to 74,512 and 161,723

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Solution

The third proportional to 74,512 and 161,723 is: 351,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,512 : 161,723 = 161,723 : x
  2. Step 2: Convert to fraction form
    74,512/161,723 = 161,723/x
  3. Step 3: Cross multiply
    74,512x = 161,723 × 161,723
  4. Step 4: Simplify right side
    74,512x = 26,154,328,729
  5. Step 5: Solve for x
    x = 26,154,328,729/74,512
  6. Step 6: Final answer
    x = 351,008.28

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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.