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Finding the Third Proportional to 260,042.75 and 388,348.13

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Solution

The third proportional to 260,042.75 and 388,348.13 is: 579,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.75 : 388,348.13 = 388,348.13 : x
  2. Step 2: Convert to fraction form
    260,042.75/388,348.13 = 388,348.13/x
  3. Step 3: Cross multiply
    260,042.75x = 388,348.13 × 388,348.13
  4. Step 4: Simplify right side
    260,042.75x = 150,814,266,191.02
  5. Step 5: Solve for x
    x = 150,814,266,191.02/260,042.75
  6. Step 6: Final answer
    x = 579,959.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.