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Finding the Third Proportional to 780.26 and 1,141.91

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Solution

The third proportional to 780.26 and 1,141.91 is: 1,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,141.91 = 1,141.91 : x
  2. Step 2: Convert to fraction form
    780.26/1,141.91 = 1,141.91/x
  3. Step 3: Cross multiply
    780.26x = 1,141.91 × 1,141.91
  4. Step 4: Simplify right side
    780.26x = 1,303,958.80
  5. Step 5: Solve for x
    x = 1,303,958.80/780.26
  6. Step 6: Final answer
    x = 1,671.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.