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Finding the Third Proportional to 223,114.50 and 490,515.75

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Solution

The third proportional to 223,114.50 and 490,515.75 is: 1,078,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,114.50 : 490,515.75 = 490,515.75 : x
  2. Step 2: Convert to fraction form
    223,114.50/490,515.75 = 490,515.75/x
  3. Step 3: Cross multiply
    223,114.50x = 490,515.75 × 490,515.75
  4. Step 4: Simplify right side
    223,114.50x = 240,605,700,998.06
  5. Step 5: Solve for x
    x = 240,605,700,998.06/223,114.50
  6. Step 6: Final answer
    x = 1,078,395.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.