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Finding the Third Proportional to 243.84 and 643.36

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Solution

The third proportional to 243.84 and 643.36 is: 1,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 643.36 = 643.36 : x
  2. Step 2: Convert to fraction form
    243.84/643.36 = 643.36/x
  3. Step 3: Cross multiply
    243.84x = 643.36 × 643.36
  4. Step 4: Simplify right side
    243.84x = 413,911.29
  5. Step 5: Solve for x
    x = 413,911.29/243.84
  6. Step 6: Final answer
    x = 1,697.44

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.