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Finding the Third Proportional to 155,551 and 419,018

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Solution

The third proportional to 155,551 and 419,018 is: 1,128,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,551 : 419,018 = 419,018 : x
  2. Step 2: Convert to fraction form
    155,551/419,018 = 419,018/x
  3. Step 3: Cross multiply
    155,551x = 419,018 × 419,018
  4. Step 4: Simplify right side
    155,551x = 175,576,084,324
  5. Step 5: Solve for x
    x = 175,576,084,324/155,551
  6. Step 6: Final answer
    x = 1,128,736.46

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.