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Finding the Third Proportional to 259,747.13 and 388,575.75

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Solution

The third proportional to 259,747.13 and 388,575.75 is: 581,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,747.13 : 388,575.75 = 388,575.75 : x
  2. Step 2: Convert to fraction form
    259,747.13/388,575.75 = 388,575.75/x
  3. Step 3: Cross multiply
    259,747.13x = 388,575.75 × 388,575.75
  4. Step 4: Simplify right side
    259,747.13x = 150,991,113,488.06
  5. Step 5: Solve for x
    x = 150,991,113,488.06/259,747.13
  6. Step 6: Final answer
    x = 581,300.42

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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.