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Finding the Third Proportional to 523,982.25 and 811,579.50

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Solution

The third proportional to 523,982.25 and 811,579.50 is: 1,257,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,982.25 : 811,579.50 = 811,579.50 : x
  2. Step 2: Convert to fraction form
    523,982.25/811,579.50 = 811,579.50/x
  3. Step 3: Cross multiply
    523,982.25x = 811,579.50 × 811,579.50
  4. Step 4: Simplify right side
    523,982.25x = 658,661,284,820.25
  5. Step 5: Solve for x
    x = 658,661,284,820.25/523,982.25
  6. Step 6: Final answer
    x = 1,257,029.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.