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Finding the Third Proportional to 81,216 and 124,128

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Solution

The third proportional to 81,216 and 124,128 is: 189,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,216 : 124,128 = 124,128 : x
  2. Step 2: Convert to fraction form
    81,216/124,128 = 124,128/x
  3. Step 3: Cross multiply
    81,216x = 124,128 × 124,128
  4. Step 4: Simplify right side
    81,216x = 15,407,760,384
  5. Step 5: Solve for x
    x = 15,407,760,384/81,216
  6. Step 6: Final answer
    x = 189,713.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.