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Finding the Third Proportional to 221,911.31 and 313,999.88

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Solution

The third proportional to 221,911.31 and 313,999.88 is: 444,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,911.31 : 313,999.88 = 313,999.88 : x
  2. Step 2: Convert to fraction form
    221,911.31/313,999.88 = 313,999.88/x
  3. Step 3: Cross multiply
    221,911.31x = 313,999.88 × 313,999.88
  4. Step 4: Simplify right side
    221,911.31x = 98,595,921,500.02
  5. Step 5: Solve for x
    x = 98,595,921,500.02/221,911.31
  6. Step 6: Final answer
    x = 444,303.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.