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Finding the Third Proportional to 51,623 and 72,694

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Solution

The third proportional to 51,623 and 72,694 is: 102,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,623 : 72,694 = 72,694 : x
  2. Step 2: Convert to fraction form
    51,623/72,694 = 72,694/x
  3. Step 3: Cross multiply
    51,623x = 72,694 × 72,694
  4. Step 4: Simplify right side
    51,623x = 5,284,417,636
  5. Step 5: Solve for x
    x = 5,284,417,636/51,623
  6. Step 6: Final answer
    x = 102,365.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.