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Finding the Third Proportional to 273,816 and 420,696

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Solution

The third proportional to 273,816 and 420,696 is: 646,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,816 : 420,696 = 420,696 : x
  2. Step 2: Convert to fraction form
    273,816/420,696 = 420,696/x
  3. Step 3: Cross multiply
    273,816x = 420,696 × 420,696
  4. Step 4: Simplify right side
    273,816x = 176,985,124,416
  5. Step 5: Solve for x
    x = 176,985,124,416/273,816
  6. Step 6: Final answer
    x = 646,365.17

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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.