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Finding the Third Proportional to 286,230.50 and 388,725.25

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Solution

The third proportional to 286,230.50 and 388,725.25 is: 527,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,230.50 : 388,725.25 = 388,725.25 : x
  2. Step 2: Convert to fraction form
    286,230.50/388,725.25 = 388,725.25/x
  3. Step 3: Cross multiply
    286,230.50x = 388,725.25 × 388,725.25
  4. Step 4: Simplify right side
    286,230.50x = 151,107,319,987.56
  5. Step 5: Solve for x
    x = 151,107,319,987.56/286,230.50
  6. Step 6: Final answer
    x = 527,921.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.