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Finding the Third Proportional to 780.42 and 1,632.97

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Solution

The third proportional to 780.42 and 1,632.97 is: 3,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.42 : 1,632.97 = 1,632.97 : x
  2. Step 2: Convert to fraction form
    780.42/1,632.97 = 1,632.97/x
  3. Step 3: Cross multiply
    780.42x = 1,632.97 × 1,632.97
  4. Step 4: Simplify right side
    780.42x = 2,666,599.70
  5. Step 5: Solve for x
    x = 2,666,599.70/780.42
  6. Step 6: Final answer
    x = 3,416.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.