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Finding the Third Proportional to 258,607.69 and 388,260.84

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Solution

The third proportional to 258,607.69 and 388,260.84 is: 582,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,607.69 : 388,260.84 = 388,260.84 : x
  2. Step 2: Convert to fraction form
    258,607.69/388,260.84 = 388,260.84/x
  3. Step 3: Cross multiply
    258,607.69x = 388,260.84 × 388,260.84
  4. Step 4: Simplify right side
    258,607.69x = 150,746,482,789.46
  5. Step 5: Solve for x
    x = 150,746,482,789.46/258,607.69
  6. Step 6: Final answer
    x = 582,915.71

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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.