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Finding the Third Proportional to 68,975.50 and 105,469

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Solution

The third proportional to 68,975.50 and 105,469 is: 161,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,975.50 : 105,469 = 105,469 : x
  2. Step 2: Convert to fraction form
    68,975.50/105,469 = 105,469/x
  3. Step 3: Cross multiply
    68,975.50x = 105,469 × 105,469
  4. Step 4: Simplify right side
    68,975.50x = 11,123,709,961
  5. Step 5: Solve for x
    x = 11,123,709,961/68,975.50
  6. Step 6: Final answer
    x = 161,270.45

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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.