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Finding the Third Proportional to 79,816 and 121,384

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Solution

The third proportional to 79,816 and 121,384 is: 184,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,816 : 121,384 = 121,384 : x
  2. Step 2: Convert to fraction form
    79,816/121,384 = 121,384/x
  3. Step 3: Cross multiply
    79,816x = 121,384 × 121,384
  4. Step 4: Simplify right side
    79,816x = 14,734,075,456
  5. Step 5: Solve for x
    x = 14,734,075,456/79,816
  6. Step 6: Final answer
    x = 184,600.52

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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.