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Finding the Third Proportional to 251,122 and 542,078

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Solution

The third proportional to 251,122 and 542,078 is: 1,170,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,122 : 542,078 = 542,078 : x
  2. Step 2: Convert to fraction form
    251,122/542,078 = 542,078/x
  3. Step 3: Cross multiply
    251,122x = 542,078 × 542,078
  4. Step 4: Simplify right side
    251,122x = 293,848,558,084
  5. Step 5: Solve for x
    x = 293,848,558,084/251,122
  6. Step 6: Final answer
    x = 1,170,142.63

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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.