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Finding the Third Proportional to 302.75 and 428.51

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Solution

The third proportional to 302.75 and 428.51 is: 606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.75 : 428.51 = 428.51 : x
  2. Step 2: Convert to fraction form
    302.75/428.51 = 428.51/x
  3. Step 3: Cross multiply
    302.75x = 428.51 × 428.51
  4. Step 4: Simplify right side
    302.75x = 183,618.95
  5. Step 5: Solve for x
    x = 183,618.95/302.75
  6. Step 6: Final answer
    x = 606.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.