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Finding the Third Proportional to 350,981 and 543,009

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Solution

The third proportional to 350,981 and 543,009 is: 840,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,981 : 543,009 = 543,009 : x
  2. Step 2: Convert to fraction form
    350,981/543,009 = 543,009/x
  3. Step 3: Cross multiply
    350,981x = 543,009 × 543,009
  4. Step 4: Simplify right side
    350,981x = 294,858,774,081
  5. Step 5: Solve for x
    x = 294,858,774,081/350,981
  6. Step 6: Final answer
    x = 840,098.96

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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.