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Finding the Third Proportional to 263,062.50 and 409,993.50

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Solution

The third proportional to 263,062.50 and 409,993.50 is: 638,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,062.50 : 409,993.50 = 409,993.50 : x
  2. Step 2: Convert to fraction form
    263,062.50/409,993.50 = 409,993.50/x
  3. Step 3: Cross multiply
    263,062.50x = 409,993.50 × 409,993.50
  4. Step 4: Simplify right side
    263,062.50x = 168,094,670,042.25
  5. Step 5: Solve for x
    x = 168,094,670,042.25/263,062.50
  6. Step 6: Final answer
    x = 638,991.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.