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Finding the Third Proportional to 1,233 and 1,353

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Solution

The third proportional to 1,233 and 1,353 is: 1,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233 : 1,353 = 1,353 : x
  2. Step 2: Convert to fraction form
    1,233/1,353 = 1,353/x
  3. Step 3: Cross multiply
    1,233x = 1,353 × 1,353
  4. Step 4: Simplify right side
    1,233x = 1,830,609
  5. Step 5: Solve for x
    x = 1,830,609/1,233
  6. Step 6: Final answer
    x = 1,484.68

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.