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Finding the Third Proportional to 595.50 and 908.38

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Solution

The third proportional to 595.50 and 908.38 is: 1,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.50 : 908.38 = 908.38 : x
  2. Step 2: Convert to fraction form
    595.50/908.38 = 908.38/x
  3. Step 3: Cross multiply
    595.50x = 908.38 × 908.38
  4. Step 4: Simplify right side
    595.50x = 825,145.14
  5. Step 5: Solve for x
    x = 825,145.14/595.50
  6. Step 6: Final answer
    x = 1,385.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.