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Finding the Third Proportional to 783.84 and 1,691.44

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Solution

The third proportional to 783.84 and 1,691.44 is: 3,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.84 : 1,691.44 = 1,691.44 : x
  2. Step 2: Convert to fraction form
    783.84/1,691.44 = 1,691.44/x
  3. Step 3: Cross multiply
    783.84x = 1,691.44 × 1,691.44
  4. Step 4: Simplify right side
    783.84x = 2,860,960.82
  5. Step 5: Solve for x
    x = 2,860,960.82/783.84
  6. Step 6: Final answer
    x = 3,649.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.