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Finding the Third Proportional to 180,916 and 276,072

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Solution

The third proportional to 180,916 and 276,072 is: 421,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,916 : 276,072 = 276,072 : x
  2. Step 2: Convert to fraction form
    180,916/276,072 = 276,072/x
  3. Step 3: Cross multiply
    180,916x = 276,072 × 276,072
  4. Step 4: Simplify right side
    180,916x = 76,215,749,184
  5. Step 5: Solve for x
    x = 76,215,749,184/180,916
  6. Step 6: Final answer
    x = 421,277.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.