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Finding the Third Proportional to 518,383.50 and 811,406

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Solution

The third proportional to 518,383.50 and 811,406 is: 1,270,062.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,383.50 : 811,406 = 811,406 : x
  2. Step 2: Convert to fraction form
    518,383.50/811,406 = 811,406/x
  3. Step 3: Cross multiply
    518,383.50x = 811,406 × 811,406
  4. Step 4: Simplify right side
    518,383.50x = 658,379,696,836
  5. Step 5: Solve for x
    x = 658,379,696,836/518,383.50
  6. Step 6: Final answer
    x = 1,270,062.99

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