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Finding the Third Proportional to 115,176 and 177,684

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Solution

The third proportional to 115,176 and 177,684 is: 274,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,176 : 177,684 = 177,684 : x
  2. Step 2: Convert to fraction form
    115,176/177,684 = 177,684/x
  3. Step 3: Cross multiply
    115,176x = 177,684 × 177,684
  4. Step 4: Simplify right side
    115,176x = 31,571,603,856
  5. Step 5: Solve for x
    x = 31,571,603,856/115,176
  6. Step 6: Final answer
    x = 274,116.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.