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Finding the Third Proportional to 138,683.25 and 198,173.25

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Solution

The third proportional to 138,683.25 and 198,173.25 is: 283,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,683.25 : 198,173.25 = 198,173.25 : x
  2. Step 2: Convert to fraction form
    138,683.25/198,173.25 = 198,173.25/x
  3. Step 3: Cross multiply
    138,683.25x = 198,173.25 × 198,173.25
  4. Step 4: Simplify right side
    138,683.25x = 39,272,637,015.56
  5. Step 5: Solve for x
    x = 39,272,637,015.56/138,683.25
  6. Step 6: Final answer
    x = 283,182.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.