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Finding the Third Proportional to 434.27 and 657.41

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Solution

The third proportional to 434.27 and 657.41 is: 995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.27 : 657.41 = 657.41 : x
  2. Step 2: Convert to fraction form
    434.27/657.41 = 657.41/x
  3. Step 3: Cross multiply
    434.27x = 657.41 × 657.41
  4. Step 4: Simplify right side
    434.27x = 432,191.97
  5. Step 5: Solve for x
    x = 432,191.97/434.27
  6. Step 6: Final answer
    x = 995.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.