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Finding the Third Proportional to 259,827.75 and 388,693.69

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Solution

The third proportional to 259,827.75 and 388,693.69 is: 581,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,827.75 : 388,693.69 = 388,693.69 : x
  2. Step 2: Convert to fraction form
    259,827.75/388,693.69 = 388,693.69/x
  3. Step 3: Cross multiply
    259,827.75x = 388,693.69 × 388,693.69
  4. Step 4: Simplify right side
    259,827.75x = 151,082,782,702.35
  5. Step 5: Solve for x
    x = 151,082,782,702.35/259,827.75
  6. Step 6: Final answer
    x = 581,472.85

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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.