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Finding the Third Proportional to 171,559 and 378,019.75

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Solution

The third proportional to 171,559 and 378,019.75 is: 832,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,559 : 378,019.75 = 378,019.75 : x
  2. Step 2: Convert to fraction form
    171,559/378,019.75 = 378,019.75/x
  3. Step 3: Cross multiply
    171,559x = 378,019.75 × 378,019.75
  4. Step 4: Simplify right side
    171,559x = 142,898,931,390.06
  5. Step 5: Solve for x
    x = 142,898,931,390.06/171,559
  6. Step 6: Final answer
    x = 832,943.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.