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Finding the Third Proportional to 531.84 and 1,285.73

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Solution

The third proportional to 531.84 and 1,285.73 is: 3,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 1,285.73 = 1,285.73 : x
  2. Step 2: Convert to fraction form
    531.84/1,285.73 = 1,285.73/x
  3. Step 3: Cross multiply
    531.84x = 1,285.73 × 1,285.73
  4. Step 4: Simplify right side
    531.84x = 1,653,112.88
  5. Step 5: Solve for x
    x = 1,653,112.88/531.84
  6. Step 6: Final answer
    x = 3,108.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.