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Finding the Third Proportional to 786.13 and 1,063.88

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Solution

The third proportional to 786.13 and 1,063.88 is: 1,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.13 : 1,063.88 = 1,063.88 : x
  2. Step 2: Convert to fraction form
    786.13/1,063.88 = 1,063.88/x
  3. Step 3: Cross multiply
    786.13x = 1,063.88 × 1,063.88
  4. Step 4: Simplify right side
    786.13x = 1,131,830.02
  5. Step 5: Solve for x
    x = 1,131,830.02/786.13
  6. Step 6: Final answer
    x = 1,439.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.