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Finding the Third Proportional to 499.75 and 713.38

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Solution

The third proportional to 499.75 and 713.38 is: 1,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.75 : 713.38 = 713.38 : x
  2. Step 2: Convert to fraction form
    499.75/713.38 = 713.38/x
  3. Step 3: Cross multiply
    499.75x = 713.38 × 713.38
  4. Step 4: Simplify right side
    499.75x = 508,903.89
  5. Step 5: Solve for x
    x = 508,903.89/499.75
  6. Step 6: Final answer
    x = 1,018.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.