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Finding the Third Proportional to 251,379 and 542,124

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Solution

The third proportional to 251,379 and 542,124 is: 1,169,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,379 : 542,124 = 542,124 : x
  2. Step 2: Convert to fraction form
    251,379/542,124 = 542,124/x
  3. Step 3: Cross multiply
    251,379x = 542,124 × 542,124
  4. Step 4: Simplify right side
    251,379x = 293,898,431,376
  5. Step 5: Solve for x
    x = 293,898,431,376/251,379
  6. Step 6: Final answer
    x = 1,169,144.72

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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.