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Finding the Third Proportional to 172,471.50 and 371,173.50

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Solution

The third proportional to 172,471.50 and 371,173.50 is: 798,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,471.50 : 371,173.50 = 371,173.50 : x
  2. Step 2: Convert to fraction form
    172,471.50/371,173.50 = 371,173.50/x
  3. Step 3: Cross multiply
    172,471.50x = 371,173.50 × 371,173.50
  4. Step 4: Simplify right side
    172,471.50x = 137,769,767,102.25
  5. Step 5: Solve for x
    x = 137,769,767,102.25/172,471.50
  6. Step 6: Final answer
    x = 798,797.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.