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Finding the Third Proportional to 221,405.50 and 458,564.50

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Solution

The third proportional to 221,405.50 and 458,564.50 is: 949,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,405.50 : 458,564.50 = 458,564.50 : x
  2. Step 2: Convert to fraction form
    221,405.50/458,564.50 = 458,564.50/x
  3. Step 3: Cross multiply
    221,405.50x = 458,564.50 × 458,564.50
  4. Step 4: Simplify right side
    221,405.50x = 210,281,400,660.25
  5. Step 5: Solve for x
    x = 210,281,400,660.25/221,405.50
  6. Step 6: Final answer
    x = 949,756.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.