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Finding the Third Proportional to 535.03 and 1,168.53

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Solution

The third proportional to 535.03 and 1,168.53 is: 2,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.03 : 1,168.53 = 1,168.53 : x
  2. Step 2: Convert to fraction form
    535.03/1,168.53 = 1,168.53/x
  3. Step 3: Cross multiply
    535.03x = 1,168.53 × 1,168.53
  4. Step 4: Simplify right side
    535.03x = 1,365,465.28
  5. Step 5: Solve for x
    x = 1,365,465.28/535.03
  6. Step 6: Final answer
    x = 2,552.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.