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Finding the Third Proportional to 929.53 and 1,233.56

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Solution

The third proportional to 929.53 and 1,233.56 is: 1,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.53 : 1,233.56 = 1,233.56 : x
  2. Step 2: Convert to fraction form
    929.53/1,233.56 = 1,233.56/x
  3. Step 3: Cross multiply
    929.53x = 1,233.56 × 1,233.56
  4. Step 4: Simplify right side
    929.53x = 1,521,676.44
  5. Step 5: Solve for x
    x = 1,521,676.44/929.53
  6. Step 6: Final answer
    x = 1,637.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.