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Finding the Third Proportional to 351,668 and 545,340

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Solution

The third proportional to 351,668 and 545,340 is: 845,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,668 : 545,340 = 545,340 : x
  2. Step 2: Convert to fraction form
    351,668/545,340 = 545,340/x
  3. Step 3: Cross multiply
    351,668x = 545,340 × 545,340
  4. Step 4: Simplify right side
    351,668x = 297,395,715,600
  5. Step 5: Solve for x
    x = 297,395,715,600/351,668
  6. Step 6: Final answer
    x = 845,671.81

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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.