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Finding the Third Proportional to 68,256 and 103,776

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Solution

The third proportional to 68,256 and 103,776 is: 157,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,256 : 103,776 = 103,776 : x
  2. Step 2: Convert to fraction form
    68,256/103,776 = 103,776/x
  3. Step 3: Cross multiply
    68,256x = 103,776 × 103,776
  4. Step 4: Simplify right side
    68,256x = 10,769,458,176
  5. Step 5: Solve for x
    x = 10,769,458,176/68,256
  6. Step 6: Final answer
    x = 157,780.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.