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Finding the Third Proportional to 301,379 and 455,126

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Solution

The third proportional to 301,379 and 455,126 is: 687,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,379 : 455,126 = 455,126 : x
  2. Step 2: Convert to fraction form
    301,379/455,126 = 455,126/x
  3. Step 3: Cross multiply
    301,379x = 455,126 × 455,126
  4. Step 4: Simplify right side
    301,379x = 207,139,675,876
  5. Step 5: Solve for x
    x = 207,139,675,876/301,379
  6. Step 6: Final answer
    x = 687,306.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.