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Finding the Third Proportional to 783.75 and 1,221.13

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Solution

The third proportional to 783.75 and 1,221.13 is: 1,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.75 : 1,221.13 = 1,221.13 : x
  2. Step 2: Convert to fraction form
    783.75/1,221.13 = 1,221.13/x
  3. Step 3: Cross multiply
    783.75x = 1,221.13 × 1,221.13
  4. Step 4: Simplify right side
    783.75x = 1,491,146.27
  5. Step 5: Solve for x
    x = 1,491,146.27/783.75
  6. Step 6: Final answer
    x = 1,902.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.