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Finding the Third Proportional to 350,120 and 543,164

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Solution

The third proportional to 350,120 and 543,164 is: 842,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,120 : 543,164 = 543,164 : x
  2. Step 2: Convert to fraction form
    350,120/543,164 = 543,164/x
  3. Step 3: Cross multiply
    350,120x = 543,164 × 543,164
  4. Step 4: Simplify right side
    350,120x = 295,027,130,896
  5. Step 5: Solve for x
    x = 295,027,130,896/350,120
  6. Step 6: Final answer
    x = 842,645.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.