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Finding the Third Proportional to 385.17 and 554.13

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Solution

The third proportional to 385.17 and 554.13 is: 797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.17 : 554.13 = 554.13 : x
  2. Step 2: Convert to fraction form
    385.17/554.13 = 554.13/x
  3. Step 3: Cross multiply
    385.17x = 554.13 × 554.13
  4. Step 4: Simplify right side
    385.17x = 307,063.17
  5. Step 5: Solve for x
    x = 307,063.17/385.17
  6. Step 6: Final answer
    x = 797.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.