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Finding the Third Proportional to 39,699 and 53,883

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Solution

The third proportional to 39,699 and 53,883 is: 73,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,699 : 53,883 = 53,883 : x
  2. Step 2: Convert to fraction form
    39,699/53,883 = 53,883/x
  3. Step 3: Cross multiply
    39,699x = 53,883 × 53,883
  4. Step 4: Simplify right side
    39,699x = 2,903,377,689
  5. Step 5: Solve for x
    x = 2,903,377,689/39,699
  6. Step 6: Final answer
    x = 73,134.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.