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Finding the Third Proportional to 834.36 and 1,302.09

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Solution

The third proportional to 834.36 and 1,302.09 is: 2,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.36 : 1,302.09 = 1,302.09 : x
  2. Step 2: Convert to fraction form
    834.36/1,302.09 = 1,302.09/x
  3. Step 3: Cross multiply
    834.36x = 1,302.09 × 1,302.09
  4. Step 4: Simplify right side
    834.36x = 1,695,440.50
  5. Step 5: Solve for x
    x = 1,695,440.50/834.36
  6. Step 6: Final answer
    x = 2,032.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.