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Finding the Third Proportional to 228,282.75 and 487,122.75

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Solution

The third proportional to 228,282.75 and 487,122.75 is: 1,039,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,282.75 : 487,122.75 = 487,122.75 : x
  2. Step 2: Convert to fraction form
    228,282.75/487,122.75 = 487,122.75/x
  3. Step 3: Cross multiply
    228,282.75x = 487,122.75 × 487,122.75
  4. Step 4: Simplify right side
    228,282.75x = 237,288,573,567.56
  5. Step 5: Solve for x
    x = 237,288,573,567.56/228,282.75
  6. Step 6: Final answer
    x = 1,039,450.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.