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Finding the Third Proportional to 118,426 and 253,736

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Solution

The third proportional to 118,426 and 253,736 is: 543,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,426 : 253,736 = 253,736 : x
  2. Step 2: Convert to fraction form
    118,426/253,736 = 253,736/x
  3. Step 3: Cross multiply
    118,426x = 253,736 × 253,736
  4. Step 4: Simplify right side
    118,426x = 64,381,957,696
  5. Step 5: Solve for x
    x = 64,381,957,696/118,426
  6. Step 6: Final answer
    x = 543,647.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.