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Finding the Third Proportional to 780.75 and 1,105.13

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Solution

The third proportional to 780.75 and 1,105.13 is: 1,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.75 : 1,105.13 = 1,105.13 : x
  2. Step 2: Convert to fraction form
    780.75/1,105.13 = 1,105.13/x
  3. Step 3: Cross multiply
    780.75x = 1,105.13 × 1,105.13
  4. Step 4: Simplify right side
    780.75x = 1,221,301.27
  5. Step 5: Solve for x
    x = 1,221,301.27/780.75
  6. Step 6: Final answer
    x = 1,564.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.