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Finding the Third Proportional to 68,272 and 105,672

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Solution

The third proportional to 68,272 and 105,672 is: 163,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,272 : 105,672 = 105,672 : x
  2. Step 2: Convert to fraction form
    68,272/105,672 = 105,672/x
  3. Step 3: Cross multiply
    68,272x = 105,672 × 105,672
  4. Step 4: Simplify right side
    68,272x = 11,166,571,584
  5. Step 5: Solve for x
    x = 11,166,571,584/68,272
  6. Step 6: Final answer
    x = 163,560.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.