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Finding the Third Proportional to 288,454.50 and 631,199.25

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Solution

The third proportional to 288,454.50 and 631,199.25 is: 1,381,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,454.50 : 631,199.25 = 631,199.25 : x
  2. Step 2: Convert to fraction form
    288,454.50/631,199.25 = 631,199.25/x
  3. Step 3: Cross multiply
    288,454.50x = 631,199.25 × 631,199.25
  4. Step 4: Simplify right side
    288,454.50x = 398,412,493,200.56
  5. Step 5: Solve for x
    x = 398,412,493,200.56/288,454.50
  6. Step 6: Final answer
    x = 1,381,197.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.