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Finding the Third Proportional to 784.69 and 1,704.80

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Solution

The third proportional to 784.69 and 1,704.80 is: 3,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.69 : 1,704.80 = 1,704.80 : x
  2. Step 2: Convert to fraction form
    784.69/1,704.80 = 1,704.80/x
  3. Step 3: Cross multiply
    784.69x = 1,704.80 × 1,704.80
  4. Step 4: Simplify right side
    784.69x = 2,906,332.39
  5. Step 5: Solve for x
    x = 2,906,332.39/784.69
  6. Step 6: Final answer
    x = 3,703.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.