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Finding the Third Proportional to 307.75 and 402.56

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Solution

The third proportional to 307.75 and 402.56 is: 526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 402.56 = 402.56 : x
  2. Step 2: Convert to fraction form
    307.75/402.56 = 402.56/x
  3. Step 3: Cross multiply
    307.75x = 402.56 × 402.56
  4. Step 4: Simplify right side
    307.75x = 162,056.57
  5. Step 5: Solve for x
    x = 162,056.57/307.75
  6. Step 6: Final answer
    x = 526.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.