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Finding the Third Proportional to 291,214.50 and 622,909.50

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Solution

The third proportional to 291,214.50 and 622,909.50 is: 1,332,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,214.50 : 622,909.50 = 622,909.50 : x
  2. Step 2: Convert to fraction form
    291,214.50/622,909.50 = 622,909.50/x
  3. Step 3: Cross multiply
    291,214.50x = 622,909.50 × 622,909.50
  4. Step 4: Simplify right side
    291,214.50x = 388,016,245,190.25
  5. Step 5: Solve for x
    x = 388,016,245,190.25/291,214.50
  6. Step 6: Final answer
    x = 1,332,407.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.