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Finding the Third Proportional to 28,476 and 43,829

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Solution

The third proportional to 28,476 and 43,829 is: 67,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,476 : 43,829 = 43,829 : x
  2. Step 2: Convert to fraction form
    28,476/43,829 = 43,829/x
  3. Step 3: Cross multiply
    28,476x = 43,829 × 43,829
  4. Step 4: Simplify right side
    28,476x = 1,920,981,241
  5. Step 5: Solve for x
    x = 1,920,981,241/28,476
  6. Step 6: Final answer
    x = 67,459.66

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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.