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Finding the Third Proportional to 285,745 and 391,834

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Solution

The third proportional to 285,745 and 391,834 is: 537,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,745 : 391,834 = 391,834 : x
  2. Step 2: Convert to fraction form
    285,745/391,834 = 391,834/x
  3. Step 3: Cross multiply
    285,745x = 391,834 × 391,834
  4. Step 4: Simplify right side
    285,745x = 153,533,883,556
  5. Step 5: Solve for x
    x = 153,533,883,556/285,745
  6. Step 6: Final answer
    x = 537,310.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.