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Finding the Third Proportional to 79,896 and 173,880

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Solution

The third proportional to 79,896 and 173,880 is: 378,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,896 : 173,880 = 173,880 : x
  2. Step 2: Convert to fraction form
    79,896/173,880 = 173,880/x
  3. Step 3: Cross multiply
    79,896x = 173,880 × 173,880
  4. Step 4: Simplify right side
    79,896x = 30,234,254,400
  5. Step 5: Solve for x
    x = 30,234,254,400/79,896
  6. Step 6: Final answer
    x = 378,420.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.