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Finding the Third Proportional to 78,880 and 170,360

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Solution

The third proportional to 78,880 and 170,360 is: 367,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,880 : 170,360 = 170,360 : x
  2. Step 2: Convert to fraction form
    78,880/170,360 = 170,360/x
  3. Step 3: Cross multiply
    78,880x = 170,360 × 170,360
  4. Step 4: Simplify right side
    78,880x = 29,022,529,600
  5. Step 5: Solve for x
    x = 29,022,529,600/78,880
  6. Step 6: Final answer
    x = 367,932.68

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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.