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Finding the Third Proportional to 436.48 and 657.41

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Solution

The third proportional to 436.48 and 657.41 is: 990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.48 : 657.41 = 657.41 : x
  2. Step 2: Convert to fraction form
    436.48/657.41 = 657.41/x
  3. Step 3: Cross multiply
    436.48x = 657.41 × 657.41
  4. Step 4: Simplify right side
    436.48x = 432,191.97
  5. Step 5: Solve for x
    x = 432,191.97/436.48
  6. Step 6: Final answer
    x = 990.17

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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.