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Finding the Third Proportional to 783.11 and 1,276.46

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Solution

The third proportional to 783.11 and 1,276.46 is: 2,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,276.46 = 1,276.46 : x
  2. Step 2: Convert to fraction form
    783.11/1,276.46 = 1,276.46/x
  3. Step 3: Cross multiply
    783.11x = 1,276.46 × 1,276.46
  4. Step 4: Simplify right side
    783.11x = 1,629,355.02
  5. Step 5: Solve for x
    x = 1,629,355.02/783.11
  6. Step 6: Final answer
    x = 2,080.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.