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Finding the Third Proportional to 179,866 and 388,550

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Solution

The third proportional to 179,866 and 388,550 is: 839,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,866 : 388,550 = 388,550 : x
  2. Step 2: Convert to fraction form
    179,866/388,550 = 388,550/x
  3. Step 3: Cross multiply
    179,866x = 388,550 × 388,550
  4. Step 4: Simplify right side
    179,866x = 150,971,102,500
  5. Step 5: Solve for x
    x = 150,971,102,500/179,866
  6. Step 6: Final answer
    x = 839,353.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.