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Finding the Third Proportional to 243.84 and 585.56

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Solution

The third proportional to 243.84 and 585.56 is: 1,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 585.56 = 585.56 : x
  2. Step 2: Convert to fraction form
    243.84/585.56 = 585.56/x
  3. Step 3: Cross multiply
    243.84x = 585.56 × 585.56
  4. Step 4: Simplify right side
    243.84x = 342,883.44
  5. Step 5: Solve for x
    x = 342,883.44/243.84
  6. Step 6: Final answer
    x = 1,406.16

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.