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Finding the Third Proportional to 45,623 and 68,723

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Solution

The third proportional to 45,623 and 68,723 is: 103,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,623 : 68,723 = 68,723 : x
  2. Step 2: Convert to fraction form
    45,623/68,723 = 68,723/x
  3. Step 3: Cross multiply
    45,623x = 68,723 × 68,723
  4. Step 4: Simplify right side
    45,623x = 4,722,850,729
  5. Step 5: Solve for x
    x = 4,722,850,729/45,623
  6. Step 6: Final answer
    x = 103,519.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.