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Finding the Third Proportional to 74,956 and 160,538

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Solution

The third proportional to 74,956 and 160,538 is: 343,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,956 : 160,538 = 160,538 : x
  2. Step 2: Convert to fraction form
    74,956/160,538 = 160,538/x
  3. Step 3: Cross multiply
    74,956x = 160,538 × 160,538
  4. Step 4: Simplify right side
    74,956x = 25,772,449,444
  5. Step 5: Solve for x
    x = 25,772,449,444/74,956
  6. Step 6: Final answer
    x = 343,834.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.