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Finding the Third Proportional to 783.11 and 1,299.96

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Solution

The third proportional to 783.11 and 1,299.96 is: 2,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,299.96 = 1,299.96 : x
  2. Step 2: Convert to fraction form
    783.11/1,299.96 = 1,299.96/x
  3. Step 3: Cross multiply
    783.11x = 1,299.96 × 1,299.96
  4. Step 4: Simplify right side
    783.11x = 1,689,883.21
  5. Step 5: Solve for x
    x = 1,689,883.21/783.11
  6. Step 6: Final answer
    x = 2,157.93

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.