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Finding the Third Proportional to 475.38 and 730.38

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Solution

The third proportional to 475.38 and 730.38 is: 1,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.38 : 730.38 = 730.38 : x
  2. Step 2: Convert to fraction form
    475.38/730.38 = 730.38/x
  3. Step 3: Cross multiply
    475.38x = 730.38 × 730.38
  4. Step 4: Simplify right side
    475.38x = 533,447.64
  5. Step 5: Solve for x
    x = 533,447.64/475.38
  6. Step 6: Final answer
    x = 1,122.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.