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Finding the Third Proportional to 221,191.31 and 483,778.69

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Solution

The third proportional to 221,191.31 and 483,778.69 is: 1,058,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,191.31 : 483,778.69 = 483,778.69 : x
  2. Step 2: Convert to fraction form
    221,191.31/483,778.69 = 483,778.69/x
  3. Step 3: Cross multiply
    221,191.31x = 483,778.69 × 483,778.69
  4. Step 4: Simplify right side
    221,191.31x = 234,041,818,479.22
  5. Step 5: Solve for x
    x = 234,041,818,479.22/221,191.31
  6. Step 6: Final answer
    x = 1,058,096.79

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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.