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Finding the Third Proportional to 817.13 and 1,710.19

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Solution

The third proportional to 817.13 and 1,710.19 is: 3,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.13 : 1,710.19 = 1,710.19 : x
  2. Step 2: Convert to fraction form
    817.13/1,710.19 = 1,710.19/x
  3. Step 3: Cross multiply
    817.13x = 1,710.19 × 1,710.19
  4. Step 4: Simplify right side
    817.13x = 2,924,741.29
  5. Step 5: Solve for x
    x = 2,924,741.29/817.13
  6. Step 6: Final answer
    x = 3,579.31

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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.