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Finding the Third Proportional to 742.50 and 1,133.58

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Solution

The third proportional to 742.50 and 1,133.58 is: 1,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.50 : 1,133.58 = 1,133.58 : x
  2. Step 2: Convert to fraction form
    742.50/1,133.58 = 1,133.58/x
  3. Step 3: Cross multiply
    742.50x = 1,133.58 × 1,133.58
  4. Step 4: Simplify right side
    742.50x = 1,284,999.37
  5. Step 5: Solve for x
    x = 1,284,999.37/742.50
  6. Step 6: Final answer
    x = 1,730.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.