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Finding the Third Proportional to 78,474 and 170,052

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Solution

The third proportional to 78,474 and 170,052 is: 368,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,474 : 170,052 = 170,052 : x
  2. Step 2: Convert to fraction form
    78,474/170,052 = 170,052/x
  3. Step 3: Cross multiply
    78,474x = 170,052 × 170,052
  4. Step 4: Simplify right side
    78,474x = 28,917,682,704
  5. Step 5: Solve for x
    x = 28,917,682,704/78,474
  6. Step 6: Final answer
    x = 368,500.17

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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.