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Finding the Third Proportional to 383.17 and 547.07

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Solution

The third proportional to 383.17 and 547.07 is: 781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.17 : 547.07 = 547.07 : x
  2. Step 2: Convert to fraction form
    383.17/547.07 = 547.07/x
  3. Step 3: Cross multiply
    383.17x = 547.07 × 547.07
  4. Step 4: Simplify right side
    383.17x = 299,281.65
  5. Step 5: Solve for x
    x = 299,281.65/383.17
  6. Step 6: Final answer
    x = 781.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.