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Finding the Third Proportional to 476.30 and 736.38

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Solution

The third proportional to 476.30 and 736.38 is: 1,138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.30 : 736.38 = 736.38 : x
  2. Step 2: Convert to fraction form
    476.30/736.38 = 736.38/x
  3. Step 3: Cross multiply
    476.30x = 736.38 × 736.38
  4. Step 4: Simplify right side
    476.30x = 542,259.65
  5. Step 5: Solve for x
    x = 542,259.65/476.30
  6. Step 6: Final answer
    x = 1,138.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.