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Finding the Third Proportional to 259,737.19 and 388,560.38

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Solution

The third proportional to 259,737.19 and 388,560.38 is: 581,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,737.19 : 388,560.38 = 388,560.38 : x
  2. Step 2: Convert to fraction form
    259,737.19/388,560.38 = 388,560.38/x
  3. Step 3: Cross multiply
    259,737.19x = 388,560.38 × 388,560.38
  4. Step 4: Simplify right side
    259,737.19x = 150,979,165,020.14
  5. Step 5: Solve for x
    x = 150,979,165,020.14/259,737.19
  6. Step 6: Final answer
    x = 581,276.66

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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.