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Finding the Third Proportional to 69,752 and 143,176

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Solution

The third proportional to 69,752 and 143,176 is: 293,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,752 : 143,176 = 143,176 : x
  2. Step 2: Convert to fraction form
    69,752/143,176 = 143,176/x
  3. Step 3: Cross multiply
    69,752x = 143,176 × 143,176
  4. Step 4: Simplify right side
    69,752x = 20,499,366,976
  5. Step 5: Solve for x
    x = 20,499,366,976/69,752
  6. Step 6: Final answer
    x = 293,889.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.