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Finding the Third Proportional to 783.42 and 1,601.65

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Solution

The third proportional to 783.42 and 1,601.65 is: 3,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.42 : 1,601.65 = 1,601.65 : x
  2. Step 2: Convert to fraction form
    783.42/1,601.65 = 1,601.65/x
  3. Step 3: Cross multiply
    783.42x = 1,601.65 × 1,601.65
  4. Step 4: Simplify right side
    783.42x = 2,565,277.72
  5. Step 5: Solve for x
    x = 2,565,277.72/783.42
  6. Step 6: Final answer
    x = 3,274.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.