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Finding the Third Proportional to 183,200 and 386,072

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Solution

The third proportional to 183,200 and 386,072 is: 813,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,200 : 386,072 = 386,072 : x
  2. Step 2: Convert to fraction form
    183,200/386,072 = 386,072/x
  3. Step 3: Cross multiply
    183,200x = 386,072 × 386,072
  4. Step 4: Simplify right side
    183,200x = 149,051,589,184
  5. Step 5: Solve for x
    x = 149,051,589,184/183,200
  6. Step 6: Final answer
    x = 813,600.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.