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Finding the Third Proportional to 55,276 and 119,288

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Solution

The third proportional to 55,276 and 119,288 is: 257,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,276 : 119,288 = 119,288 : x
  2. Step 2: Convert to fraction form
    55,276/119,288 = 119,288/x
  3. Step 3: Cross multiply
    55,276x = 119,288 × 119,288
  4. Step 4: Simplify right side
    55,276x = 14,229,626,944
  5. Step 5: Solve for x
    x = 14,229,626,944/55,276
  6. Step 6: Final answer
    x = 257,428.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.