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Finding the Third Proportional to 228,387 and 491,769

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Solution

The third proportional to 228,387 and 491,769 is: 1,058,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,387 : 491,769 = 491,769 : x
  2. Step 2: Convert to fraction form
    228,387/491,769 = 491,769/x
  3. Step 3: Cross multiply
    228,387x = 491,769 × 491,769
  4. Step 4: Simplify right side
    228,387x = 241,836,749,361
  5. Step 5: Solve for x
    x = 241,836,749,361/228,387
  6. Step 6: Final answer
    x = 1,058,890.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.