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Finding the Third Proportional to 181,278 and 388,806

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Solution

The third proportional to 181,278 and 388,806 is: 833,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,278 : 388,806 = 388,806 : x
  2. Step 2: Convert to fraction form
    181,278/388,806 = 388,806/x
  3. Step 3: Cross multiply
    181,278x = 388,806 × 388,806
  4. Step 4: Simplify right side
    181,278x = 151,170,105,636
  5. Step 5: Solve for x
    x = 151,170,105,636/181,278
  6. Step 6: Final answer
    x = 833,913.14

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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.