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Finding the Third Proportional to 78,435 and 171,450

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Solution

The third proportional to 78,435 and 171,450 is: 374,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,435 : 171,450 = 171,450 : x
  2. Step 2: Convert to fraction form
    78,435/171,450 = 171,450/x
  3. Step 3: Cross multiply
    78,435x = 171,450 × 171,450
  4. Step 4: Simplify right side
    78,435x = 29,395,102,500
  5. Step 5: Solve for x
    x = 29,395,102,500/78,435
  6. Step 6: Final answer
    x = 374,770.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.