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Finding the Third Proportional to 289,210.50 and 622,829.25

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Solution

The third proportional to 289,210.50 and 622,829.25 is: 1,341,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,210.50 : 622,829.25 = 622,829.25 : x
  2. Step 2: Convert to fraction form
    289,210.50/622,829.25 = 622,829.25/x
  3. Step 3: Cross multiply
    289,210.50x = 622,829.25 × 622,829.25
  4. Step 4: Simplify right side
    289,210.50x = 387,916,274,655.56
  5. Step 5: Solve for x
    x = 387,916,274,655.56/289,210.50
  6. Step 6: Final answer
    x = 1,341,293.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.