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Finding the Third Proportional to 499.22 and 785.81

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Solution

The third proportional to 499.22 and 785.81 is: 1,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.22 : 785.81 = 785.81 : x
  2. Step 2: Convert to fraction form
    499.22/785.81 = 785.81/x
  3. Step 3: Cross multiply
    499.22x = 785.81 × 785.81
  4. Step 4: Simplify right side
    499.22x = 617,501.29
  5. Step 5: Solve for x
    x = 617,501.29/499.22
  6. Step 6: Final answer
    x = 1,236.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.