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Finding the Third Proportional to 783.21 and 1,214.37

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Solution

The third proportional to 783.21 and 1,214.37 is: 1,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.21 : 1,214.37 = 1,214.37 : x
  2. Step 2: Convert to fraction form
    783.21/1,214.37 = 1,214.37/x
  3. Step 3: Cross multiply
    783.21x = 1,214.37 × 1,214.37
  4. Step 4: Simplify right side
    783.21x = 1,474,687.67
  5. Step 5: Solve for x
    x = 1,474,687.67/783.21
  6. Step 6: Final answer
    x = 1,882.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.