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Finding the Third Proportional to 780.75 and 1,242.28

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Solution

The third proportional to 780.75 and 1,242.28 is: 1,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.75 : 1,242.28 = 1,242.28 : x
  2. Step 2: Convert to fraction form
    780.75/1,242.28 = 1,242.28/x
  3. Step 3: Cross multiply
    780.75x = 1,242.28 × 1,242.28
  4. Step 4: Simplify right side
    780.75x = 1,543,262.70
  5. Step 5: Solve for x
    x = 1,543,262.70/780.75
  6. Step 6: Final answer
    x = 1,976.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.