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Finding the Third Proportional to 191,425 and 285,267

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Solution

The third proportional to 191,425 and 285,267 is: 425,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,425 : 285,267 = 285,267 : x
  2. Step 2: Convert to fraction form
    191,425/285,267 = 285,267/x
  3. Step 3: Cross multiply
    191,425x = 285,267 × 285,267
  4. Step 4: Simplify right side
    191,425x = 81,377,261,289
  5. Step 5: Solve for x
    x = 81,377,261,289/191,425
  6. Step 6: Final answer
    x = 425,113.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.