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Finding the Third Proportional to 771.71 and 1,102.04

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Solution

The third proportional to 771.71 and 1,102.04 is: 1,573.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.71 : 1,102.04 = 1,102.04 : x
  2. Step 2: Convert to fraction form
    771.71/1,102.04 = 1,102.04/x
  3. Step 3: Cross multiply
    771.71x = 1,102.04 × 1,102.04
  4. Step 4: Simplify right side
    771.71x = 1,214,498.70
  5. Step 5: Solve for x
    x = 1,214,498.70/771.71
  6. Step 6: Final answer
    x = 1,573.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.