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Finding the Third Proportional to 31,735 and 69,699

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Solution

The third proportional to 31,735 and 69,699 is: 153,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735 : 69,699 = 69,699 : x
  2. Step 2: Convert to fraction form
    31,735/69,699 = 69,699/x
  3. Step 3: Cross multiply
    31,735x = 69,699 × 69,699
  4. Step 4: Simplify right side
    31,735x = 4,857,950,601
  5. Step 5: Solve for x
    x = 4,857,950,601/31,735
  6. Step 6: Final answer
    x = 153,078.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.