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Finding the Third Proportional to 499,297.50 and 811,188

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Solution

The third proportional to 499,297.50 and 811,188 is: 1,317,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,297.50 : 811,188 = 811,188 : x
  2. Step 2: Convert to fraction form
    499,297.50/811,188 = 811,188/x
  3. Step 3: Cross multiply
    499,297.50x = 811,188 × 811,188
  4. Step 4: Simplify right side
    499,297.50x = 658,025,971,344
  5. Step 5: Solve for x
    x = 658,025,971,344/499,297.50
  6. Step 6: Final answer
    x = 1,317,903.60

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.