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Finding the Third Proportional to 682.69 and 907.97

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Solution

The third proportional to 682.69 and 907.97 is: 1,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.69 : 907.97 = 907.97 : x
  2. Step 2: Convert to fraction form
    682.69/907.97 = 907.97/x
  3. Step 3: Cross multiply
    682.69x = 907.97 × 907.97
  4. Step 4: Simplify right side
    682.69x = 824,407.25
  5. Step 5: Solve for x
    x = 824,407.25/682.69
  6. Step 6: Final answer
    x = 1,207.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.