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Finding the Third Proportional to 415.41 and 543.23

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Solution

The third proportional to 415.41 and 543.23 is: 710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.41 : 543.23 = 543.23 : x
  2. Step 2: Convert to fraction form
    415.41/543.23 = 543.23/x
  3. Step 3: Cross multiply
    415.41x = 543.23 × 543.23
  4. Step 4: Simplify right side
    415.41x = 295,103.59
  5. Step 5: Solve for x
    x = 295,103.59/415.41
  6. Step 6: Final answer
    x = 710.40

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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.