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Finding the Third Proportional to 445.75 and 709.38

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Solution

The third proportional to 445.75 and 709.38 is: 1,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.75 : 709.38 = 709.38 : x
  2. Step 2: Convert to fraction form
    445.75/709.38 = 709.38/x
  3. Step 3: Cross multiply
    445.75x = 709.38 × 709.38
  4. Step 4: Simplify right side
    445.75x = 503,212.89
  5. Step 5: Solve for x
    x = 503,212.89/445.75
  6. Step 6: Final answer
    x = 1,128.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.