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Finding the Third Proportional to 277.13 and 417.74

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Solution

The third proportional to 277.13 and 417.74 is: 629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.13 : 417.74 = 417.74 : x
  2. Step 2: Convert to fraction form
    277.13/417.74 = 417.74/x
  3. Step 3: Cross multiply
    277.13x = 417.74 × 417.74
  4. Step 4: Simplify right side
    277.13x = 174,502.82
  5. Step 5: Solve for x
    x = 174,502.82/277.13
  6. Step 6: Final answer
    x = 629.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.