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Finding the Third Proportional to 169 and 278

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Solution

The third proportional to 169 and 278 is: 457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169 : 278 = 278 : x
  2. Step 2: Convert to fraction form
    169/278 = 278/x
  3. Step 3: Cross multiply
    169x = 278 × 278
  4. Step 4: Simplify right side
    169x = 77,284
  5. Step 5: Solve for x
    x = 77,284/169
  6. Step 6: Final answer
    x = 457.30

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.