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Finding the Third Proportional to 74,682 and 115,607

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Solution

The third proportional to 74,682 and 115,607 is: 178,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,682 : 115,607 = 115,607 : x
  2. Step 2: Convert to fraction form
    74,682/115,607 = 115,607/x
  3. Step 3: Cross multiply
    74,682x = 115,607 × 115,607
  4. Step 4: Simplify right side
    74,682x = 13,364,978,449
  5. Step 5: Solve for x
    x = 13,364,978,449/74,682
  6. Step 6: Final answer
    x = 178,958.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.