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Finding the Third Proportional to 76,128 and 163,896

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Solution

The third proportional to 76,128 and 163,896 is: 352,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,128 : 163,896 = 163,896 : x
  2. Step 2: Convert to fraction form
    76,128/163,896 = 163,896/x
  3. Step 3: Cross multiply
    76,128x = 163,896 × 163,896
  4. Step 4: Simplify right side
    76,128x = 26,861,898,816
  5. Step 5: Solve for x
    x = 26,861,898,816/76,128
  6. Step 6: Final answer
    x = 352,851.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.