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Finding the Third Proportional to 275.38 and 603.63

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Solution

The third proportional to 275.38 and 603.63 is: 1,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.38 : 603.63 = 603.63 : x
  2. Step 2: Convert to fraction form
    275.38/603.63 = 603.63/x
  3. Step 3: Cross multiply
    275.38x = 603.63 × 603.63
  4. Step 4: Simplify right side
    275.38x = 364,363.14
  5. Step 5: Solve for x
    x = 364,363.14/275.38
  6. Step 6: Final answer
    x = 1,323.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.