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Finding the Third Proportional to 269,563.50 and 417,480.75

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Solution

The third proportional to 269,563.50 and 417,480.75 is: 646,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,563.50 : 417,480.75 = 417,480.75 : x
  2. Step 2: Convert to fraction form
    269,563.50/417,480.75 = 417,480.75/x
  3. Step 3: Cross multiply
    269,563.50x = 417,480.75 × 417,480.75
  4. Step 4: Simplify right side
    269,563.50x = 174,290,176,620.56
  5. Step 5: Solve for x
    x = 174,290,176,620.56/269,563.50
  6. Step 6: Final answer
    x = 646,564.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.