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Finding the Third Proportional to 302.44 and 645.31

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Solution

The third proportional to 302.44 and 645.31 is: 1,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.44 : 645.31 = 645.31 : x
  2. Step 2: Convert to fraction form
    302.44/645.31 = 645.31/x
  3. Step 3: Cross multiply
    302.44x = 645.31 × 645.31
  4. Step 4: Simplify right side
    302.44x = 416,428.22
  5. Step 5: Solve for x
    x = 416,428.22/302.44
  6. Step 6: Final answer
    x = 1,376.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.