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Finding the Third Proportional to 118,852 and 174,081

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Solution

The third proportional to 118,852 and 174,081 is: 254,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,852 : 174,081 = 174,081 : x
  2. Step 2: Convert to fraction form
    118,852/174,081 = 174,081/x
  3. Step 3: Cross multiply
    118,852x = 174,081 × 174,081
  4. Step 4: Simplify right side
    118,852x = 30,304,194,561
  5. Step 5: Solve for x
    x = 30,304,194,561/118,852
  6. Step 6: Final answer
    x = 254,974.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.