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Finding the Third Proportional to 156,917.25 and 221,069.25

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Solution

The third proportional to 156,917.25 and 221,069.25 is: 311,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,917.25 : 221,069.25 = 221,069.25 : x
  2. Step 2: Convert to fraction form
    156,917.25/221,069.25 = 221,069.25/x
  3. Step 3: Cross multiply
    156,917.25x = 221,069.25 × 221,069.25
  4. Step 4: Simplify right side
    156,917.25x = 48,871,613,295.56
  5. Step 5: Solve for x
    x = 48,871,613,295.56/156,917.25
  6. Step 6: Final answer
    x = 311,448.32

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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.