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Finding the Third Proportional to 73,983 and 112,821

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Solution

The third proportional to 73,983 and 112,821 is: 172,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,983 : 112,821 = 112,821 : x
  2. Step 2: Convert to fraction form
    73,983/112,821 = 112,821/x
  3. Step 3: Cross multiply
    73,983x = 112,821 × 112,821
  4. Step 4: Simplify right side
    73,983x = 12,728,578,041
  5. Step 5: Solve for x
    x = 12,728,578,041/73,983
  6. Step 6: Final answer
    x = 172,047.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.