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Finding the Third Proportional to 780.63 and 1,660.56

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Solution

The third proportional to 780.63 and 1,660.56 is: 3,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.63 : 1,660.56 = 1,660.56 : x
  2. Step 2: Convert to fraction form
    780.63/1,660.56 = 1,660.56/x
  3. Step 3: Cross multiply
    780.63x = 1,660.56 × 1,660.56
  4. Step 4: Simplify right side
    780.63x = 2,757,467.82
  5. Step 5: Solve for x
    x = 2,757,467.82/780.63
  6. Step 6: Final answer
    x = 3,532.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.