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Finding the Third Proportional to 780.97 and 1,649.74

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Solution

The third proportional to 780.97 and 1,649.74 is: 3,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.97 : 1,649.74 = 1,649.74 : x
  2. Step 2: Convert to fraction form
    780.97/1,649.74 = 1,649.74/x
  3. Step 3: Cross multiply
    780.97x = 1,649.74 × 1,649.74
  4. Step 4: Simplify right side
    780.97x = 2,721,649.29
  5. Step 5: Solve for x
    x = 2,721,649.29/780.97
  6. Step 6: Final answer
    x = 3,484.96

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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.