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Finding the Third Proportional to 103,770 and 202,356

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Solution

The third proportional to 103,770 and 202,356 is: 394,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,770 : 202,356 = 202,356 : x
  2. Step 2: Convert to fraction form
    103,770/202,356 = 202,356/x
  3. Step 3: Cross multiply
    103,770x = 202,356 × 202,356
  4. Step 4: Simplify right side
    103,770x = 40,947,950,736
  5. Step 5: Solve for x
    x = 40,947,950,736/103,770
  6. Step 6: Final answer
    x = 394,602.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.