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Finding the Third Proportional to 383.06 and 507.80

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Solution

The third proportional to 383.06 and 507.80 is: 673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 507.80 = 507.80 : x
  2. Step 2: Convert to fraction form
    383.06/507.80 = 507.80/x
  3. Step 3: Cross multiply
    383.06x = 507.80 × 507.80
  4. Step 4: Simplify right side
    383.06x = 257,857.67
  5. Step 5: Solve for x
    x = 257,857.67/383.06
  6. Step 6: Final answer
    x = 673.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.