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Finding the Third Proportional to 817.31 and 1,706.91

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Solution

The third proportional to 817.31 and 1,706.91 is: 3,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.31 : 1,706.91 = 1,706.91 : x
  2. Step 2: Convert to fraction form
    817.31/1,706.91 = 1,706.91/x
  3. Step 3: Cross multiply
    817.31x = 1,706.91 × 1,706.91
  4. Step 4: Simplify right side
    817.31x = 2,913,528.95
  5. Step 5: Solve for x
    x = 2,913,528.95/817.31
  6. Step 6: Final answer
    x = 3,564.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.