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Finding the Third Proportional to 760.09 and 1,649.27

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Solution

The third proportional to 760.09 and 1,649.27 is: 3,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.09 : 1,649.27 = 1,649.27 : x
  2. Step 2: Convert to fraction form
    760.09/1,649.27 = 1,649.27/x
  3. Step 3: Cross multiply
    760.09x = 1,649.27 × 1,649.27
  4. Step 4: Simplify right side
    760.09x = 2,720,083.54
  5. Step 5: Solve for x
    x = 2,720,083.54/760.09
  6. Step 6: Final answer
    x = 3,578.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.