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Finding the Third Proportional to 181,310 and 388,844

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Solution

The third proportional to 181,310 and 388,844 is: 833,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,310 : 388,844 = 388,844 : x
  2. Step 2: Convert to fraction form
    181,310/388,844 = 388,844/x
  3. Step 3: Cross multiply
    181,310x = 388,844 × 388,844
  4. Step 4: Simplify right side
    181,310x = 151,199,656,336
  5. Step 5: Solve for x
    x = 151,199,656,336/181,310
  6. Step 6: Final answer
    x = 833,928.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.