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Finding the Third Proportional to 500.13 and 720.42

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Solution

The third proportional to 500.13 and 720.42 is: 1,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.13 : 720.42 = 720.42 : x
  2. Step 2: Convert to fraction form
    500.13/720.42 = 720.42/x
  3. Step 3: Cross multiply
    500.13x = 720.42 × 720.42
  4. Step 4: Simplify right side
    500.13x = 519,007.68
  5. Step 5: Solve for x
    x = 519,007.68/500.13
  6. Step 6: Final answer
    x = 1,037.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.