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Finding the Third Proportional to 784.69 and 834.05

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Solution

The third proportional to 784.69 and 834.05 is: 886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 834.05 = 834.05 : x
  2. Step 2: Convert to fraction form
    784.69/834.05 = 834.05/x
  3. Step 3: Cross multiply
    784.69x = 834.05 × 834.05
  4. Step 4: Simplify right side
    784.69x = 695,634.19
  5. Step 5: Solve for x
    x = 695,634.19/784.69
  6. Step 6: Final answer
    x = 886.51

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.