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Finding the Third Proportional to 170,019 and 397,102.50

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Solution

The third proportional to 170,019 and 397,102.50 is: 927,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,019 : 397,102.50 = 397,102.50 : x
  2. Step 2: Convert to fraction form
    170,019/397,102.50 = 397,102.50/x
  3. Step 3: Cross multiply
    170,019x = 397,102.50 × 397,102.50
  4. Step 4: Simplify right side
    170,019x = 157,690,395,506.25
  5. Step 5: Solve for x
    x = 157,690,395,506.25/170,019
  6. Step 6: Final answer
    x = 927,486.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.