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Finding the Third Proportional to 84,476 and 118,103

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Solution

The third proportional to 84,476 and 118,103 is: 165,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,476 : 118,103 = 118,103 : x
  2. Step 2: Convert to fraction form
    84,476/118,103 = 118,103/x
  3. Step 3: Cross multiply
    84,476x = 118,103 × 118,103
  4. Step 4: Simplify right side
    84,476x = 13,948,318,609
  5. Step 5: Solve for x
    x = 13,948,318,609/84,476
  6. Step 6: Final answer
    x = 165,115.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.