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Finding the Third Proportional to 61,986 and 135,834

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Solution

The third proportional to 61,986 and 135,834 is: 297,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,986 : 135,834 = 135,834 : x
  2. Step 2: Convert to fraction form
    61,986/135,834 = 135,834/x
  3. Step 3: Cross multiply
    61,986x = 135,834 × 135,834
  4. Step 4: Simplify right side
    61,986x = 18,450,875,556
  5. Step 5: Solve for x
    x = 18,450,875,556/61,986
  6. Step 6: Final answer
    x = 297,661.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.