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Finding the Third Proportional to 354,651 and 545,103

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Solution

The third proportional to 354,651 and 545,103 is: 837,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,651 : 545,103 = 545,103 : x
  2. Step 2: Convert to fraction form
    354,651/545,103 = 545,103/x
  3. Step 3: Cross multiply
    354,651x = 545,103 × 545,103
  4. Step 4: Simplify right side
    354,651x = 297,137,280,609
  5. Step 5: Solve for x
    x = 297,137,280,609/354,651
  6. Step 6: Final answer
    x = 837,830.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.