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Finding the Third Proportional to 258,509.63 and 388,038

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Solution

The third proportional to 258,509.63 and 388,038 is: 582,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,509.63 : 388,038 = 388,038 : x
  2. Step 2: Convert to fraction form
    258,509.63/388,038 = 388,038/x
  3. Step 3: Cross multiply
    258,509.63x = 388,038 × 388,038
  4. Step 4: Simplify right side
    258,509.63x = 150,573,489,444
  5. Step 5: Solve for x
    x = 150,573,489,444/258,509.63
  6. Step 6: Final answer
    x = 582,467.63

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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.