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Finding the Third Proportional to 493.03 and 740.39

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Solution

The third proportional to 493.03 and 740.39 is: 1,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.03 : 740.39 = 740.39 : x
  2. Step 2: Convert to fraction form
    493.03/740.39 = 740.39/x
  3. Step 3: Cross multiply
    493.03x = 740.39 × 740.39
  4. Step 4: Simplify right side
    493.03x = 548,178.28
  5. Step 5: Solve for x
    x = 548,178.28/493.03
  6. Step 6: Final answer
    x = 1,111.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.