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Finding the Third Proportional to 260,511.19 and 389,673.28

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Solution

The third proportional to 260,511.19 and 389,673.28 is: 582,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,511.19 : 389,673.28 = 389,673.28 : x
  2. Step 2: Convert to fraction form
    260,511.19/389,673.28 = 389,673.28/x
  3. Step 3: Cross multiply
    260,511.19x = 389,673.28 × 389,673.28
  4. Step 4: Simplify right side
    260,511.19x = 151,845,266,120.14
  5. Step 5: Solve for x
    x = 151,845,266,120.14/260,511.19
  6. Step 6: Final answer
    x = 582,874.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.