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Finding the Third Proportional to 331.78 and 507.56

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Solution

The third proportional to 331.78 and 507.56 is: 776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.78 : 507.56 = 507.56 : x
  2. Step 2: Convert to fraction form
    331.78/507.56 = 507.56/x
  3. Step 3: Cross multiply
    331.78x = 507.56 × 507.56
  4. Step 4: Simplify right side
    331.78x = 257,619.69
  5. Step 5: Solve for x
    x = 257,619.69/331.78
  6. Step 6: Final answer
    x = 776.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.