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Finding the Third Proportional to 780.47 and 1,648.22

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Solution

The third proportional to 780.47 and 1,648.22 is: 3,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.47 : 1,648.22 = 1,648.22 : x
  2. Step 2: Convert to fraction form
    780.47/1,648.22 = 1,648.22/x
  3. Step 3: Cross multiply
    780.47x = 1,648.22 × 1,648.22
  4. Step 4: Simplify right side
    780.47x = 2,716,625.05
  5. Step 5: Solve for x
    x = 2,716,625.05/780.47
  6. Step 6: Final answer
    x = 3,480.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.