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Finding the Third Proportional to 350,867 and 542,838

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Solution

The third proportional to 350,867 and 542,838 is: 839,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,867 : 542,838 = 542,838 : x
  2. Step 2: Convert to fraction form
    350,867/542,838 = 542,838/x
  3. Step 3: Cross multiply
    350,867x = 542,838 × 542,838
  4. Step 4: Simplify right side
    350,867x = 294,673,094,244
  5. Step 5: Solve for x
    x = 294,673,094,244/350,867
  6. Step 6: Final answer
    x = 839,842.72

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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.