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Finding the Third Proportional to 783.13 and 1,101.56

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Solution

The third proportional to 783.13 and 1,101.56 is: 1,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.13 : 1,101.56 = 1,101.56 : x
  2. Step 2: Convert to fraction form
    783.13/1,101.56 = 1,101.56/x
  3. Step 3: Cross multiply
    783.13x = 1,101.56 × 1,101.56
  4. Step 4: Simplify right side
    783.13x = 1,213,439.94
  5. Step 5: Solve for x
    x = 1,213,439.94/783.13
  6. Step 6: Final answer
    x = 1,549.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.