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Finding the Third Proportional to 643.57 and 1,532.36

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Solution

The third proportional to 643.57 and 1,532.36 is: 3,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.57 : 1,532.36 = 1,532.36 : x
  2. Step 2: Convert to fraction form
    643.57/1,532.36 = 1,532.36/x
  3. Step 3: Cross multiply
    643.57x = 1,532.36 × 1,532.36
  4. Step 4: Simplify right side
    643.57x = 2,348,113.28
  5. Step 5: Solve for x
    x = 2,348,113.28/643.57
  6. Step 6: Final answer
    x = 3,648.57

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.