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Finding the Third Proportional to 259,675.13 and 388,475

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Solution

The third proportional to 259,675.13 and 388,475 is: 581,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,675.13 : 388,475 = 388,475 : x
  2. Step 2: Convert to fraction form
    259,675.13/388,475 = 388,475/x
  3. Step 3: Cross multiply
    259,675.13x = 388,475 × 388,475
  4. Step 4: Simplify right side
    259,675.13x = 150,912,825,625
  5. Step 5: Solve for x
    x = 150,912,825,625/259,675.13
  6. Step 6: Final answer
    x = 581,160.12

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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.