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Finding the Third Proportional to 351,800 and 545,078

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Solution

The third proportional to 351,800 and 545,078 is: 844,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,800 : 545,078 = 545,078 : x
  2. Step 2: Convert to fraction form
    351,800/545,078 = 545,078/x
  3. Step 3: Cross multiply
    351,800x = 545,078 × 545,078
  4. Step 4: Simplify right side
    351,800x = 297,110,026,084
  5. Step 5: Solve for x
    x = 297,110,026,084/351,800
  6. Step 6: Final answer
    x = 844,542.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.