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Finding the Third Proportional to 706.36 and 809.02

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Solution

The third proportional to 706.36 and 809.02 is: 926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.36 : 809.02 = 809.02 : x
  2. Step 2: Convert to fraction form
    706.36/809.02 = 809.02/x
  3. Step 3: Cross multiply
    706.36x = 809.02 × 809.02
  4. Step 4: Simplify right side
    706.36x = 654,506.28
  5. Step 5: Solve for x
    x = 654,506.28/706.36
  6. Step 6: Final answer
    x = 926.59

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.