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Finding the Third Proportional to 278 and 603.13

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Solution

The third proportional to 278 and 603.13 is: 1,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278 : 603.13 = 603.13 : x
  2. Step 2: Convert to fraction form
    278/603.13 = 603.13/x
  3. Step 3: Cross multiply
    278x = 603.13 × 603.13
  4. Step 4: Simplify right side
    278x = 363,759.77
  5. Step 5: Solve for x
    x = 363,759.77/278
  6. Step 6: Final answer
    x = 1,308.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.