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Finding the Third Proportional to 67,986 and 145,813

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Solution

The third proportional to 67,986 and 145,813 is: 312,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,986 : 145,813 = 145,813 : x
  2. Step 2: Convert to fraction form
    67,986/145,813 = 145,813/x
  3. Step 3: Cross multiply
    67,986x = 145,813 × 145,813
  4. Step 4: Simplify right side
    67,986x = 21,261,430,969
  5. Step 5: Solve for x
    x = 21,261,430,969/67,986
  6. Step 6: Final answer
    x = 312,732.49

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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.