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Finding the Third Proportional to 68,986 and 147,813

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Solution

The third proportional to 68,986 and 147,813 is: 316,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,986 : 147,813 = 147,813 : x
  2. Step 2: Convert to fraction form
    68,986/147,813 = 147,813/x
  3. Step 3: Cross multiply
    68,986x = 147,813 × 147,813
  4. Step 4: Simplify right side
    68,986x = 21,848,682,969
  5. Step 5: Solve for x
    x = 21,848,682,969/68,986
  6. Step 6: Final answer
    x = 316,711.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.