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Finding the Third Proportional to 365,548 and 545,279

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Solution

The third proportional to 365,548 and 545,279 is: 813,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,548 : 545,279 = 545,279 : x
  2. Step 2: Convert to fraction form
    365,548/545,279 = 545,279/x
  3. Step 3: Cross multiply
    365,548x = 545,279 × 545,279
  4. Step 4: Simplify right side
    365,548x = 297,329,187,841
  5. Step 5: Solve for x
    x = 297,329,187,841/365,548
  6. Step 6: Final answer
    x = 813,379.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.