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Finding the Third Proportional to 774.84 and 1,615.22

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Solution

The third proportional to 774.84 and 1,615.22 is: 3,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,615.22 = 1,615.22 : x
  2. Step 2: Convert to fraction form
    774.84/1,615.22 = 1,615.22/x
  3. Step 3: Cross multiply
    774.84x = 1,615.22 × 1,615.22
  4. Step 4: Simplify right side
    774.84x = 2,608,931.61
  5. Step 5: Solve for x
    x = 2,608,931.61/774.84
  6. Step 6: Final answer
    x = 3,367.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.