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Finding the Third Proportional to 223,311.75 and 485,986.50

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Solution

The third proportional to 223,311.75 and 485,986.50 is: 1,057,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,311.75 : 485,986.50 = 485,986.50 : x
  2. Step 2: Convert to fraction form
    223,311.75/485,986.50 = 485,986.50/x
  3. Step 3: Cross multiply
    223,311.75x = 485,986.50 × 485,986.50
  4. Step 4: Simplify right side
    223,311.75x = 236,182,878,182.25
  5. Step 5: Solve for x
    x = 236,182,878,182.25/223,311.75
  6. Step 6: Final answer
    x = 1,057,637.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.