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Finding the Third Proportional to 712.69 and 910.97

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Solution

The third proportional to 712.69 and 910.97 is: 1,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.69 : 910.97 = 910.97 : x
  2. Step 2: Convert to fraction form
    712.69/910.97 = 910.97/x
  3. Step 3: Cross multiply
    712.69x = 910.97 × 910.97
  4. Step 4: Simplify right side
    712.69x = 829,864.06
  5. Step 5: Solve for x
    x = 829,864.06/712.69
  6. Step 6: Final answer
    x = 1,164.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.