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Finding the Third Proportional to 74,064 and 159,972

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Solution

The third proportional to 74,064 and 159,972 is: 345,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064 : 159,972 = 159,972 : x
  2. Step 2: Convert to fraction form
    74,064/159,972 = 159,972/x
  3. Step 3: Cross multiply
    74,064x = 159,972 × 159,972
  4. Step 4: Simplify right side
    74,064x = 25,591,040,784
  5. Step 5: Solve for x
    x = 25,591,040,784/74,064
  6. Step 6: Final answer
    x = 345,526.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.