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Finding the Third Proportional to 273,072 and 427,443

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Solution

The third proportional to 273,072 and 427,443 is: 669,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,072 : 427,443 = 427,443 : x
  2. Step 2: Convert to fraction form
    273,072/427,443 = 427,443/x
  3. Step 3: Cross multiply
    273,072x = 427,443 × 427,443
  4. Step 4: Simplify right side
    273,072x = 182,707,518,249
  5. Step 5: Solve for x
    x = 182,707,518,249/273,072
  6. Step 6: Final answer
    x = 669,081.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.