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Finding the Third Proportional to 742.50 and 1,038.94

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Solution

The third proportional to 742.50 and 1,038.94 is: 1,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.50 : 1,038.94 = 1,038.94 : x
  2. Step 2: Convert to fraction form
    742.50/1,038.94 = 1,038.94/x
  3. Step 3: Cross multiply
    742.50x = 1,038.94 × 1,038.94
  4. Step 4: Simplify right side
    742.50x = 1,079,391.13
  5. Step 5: Solve for x
    x = 1,079,391.13/742.50
  6. Step 6: Final answer
    x = 1,453.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.