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Finding the Third Proportional to 784.69 and 1,686.94

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Solution

The third proportional to 784.69 and 1,686.94 is: 3,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,686.94 = 1,686.94 : x
  2. Step 2: Convert to fraction form
    784.69/1,686.94 = 1,686.94/x
  3. Step 3: Cross multiply
    784.69x = 1,686.94 × 1,686.94
  4. Step 4: Simplify right side
    784.69x = 2,845,758.13
  5. Step 5: Solve for x
    x = 2,845,758.13/784.69
  6. Step 6: Final answer
    x = 3,626.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.