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Finding the Third Proportional to 251,138 and 542,110

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Solution

The third proportional to 251,138 and 542,110 is: 1,170,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,138 : 542,110 = 542,110 : x
  2. Step 2: Convert to fraction form
    251,138/542,110 = 542,110/x
  3. Step 3: Cross multiply
    251,138x = 542,110 × 542,110
  4. Step 4: Simplify right side
    251,138x = 293,883,252,100
  5. Step 5: Solve for x
    x = 293,883,252,100/251,138
  6. Step 6: Final answer
    x = 1,170,206.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.