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Finding the Third Proportional to 181,378 and 388,964

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Solution

The third proportional to 181,378 and 388,964 is: 834,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,378 : 388,964 = 388,964 : x
  2. Step 2: Convert to fraction form
    181,378/388,964 = 388,964/x
  3. Step 3: Cross multiply
    181,378x = 388,964 × 388,964
  4. Step 4: Simplify right side
    181,378x = 151,292,993,296
  5. Step 5: Solve for x
    x = 151,292,993,296/181,378
  6. Step 6: Final answer
    x = 834,130.89

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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.