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Finding the Third Proportional to 273,696 and 420,144

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Solution

The third proportional to 273,696 and 420,144 is: 644,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,696 : 420,144 = 420,144 : x
  2. Step 2: Convert to fraction form
    273,696/420,144 = 420,144/x
  3. Step 3: Cross multiply
    273,696x = 420,144 × 420,144
  4. Step 4: Simplify right side
    273,696x = 176,520,980,736
  5. Step 5: Solve for x
    x = 176,520,980,736/273,696
  6. Step 6: Final answer
    x = 644,952.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.