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Finding the Third Proportional to 272,322.50 and 419,967.75

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Solution

The third proportional to 272,322.50 and 419,967.75 is: 647,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,322.50 : 419,967.75 = 419,967.75 : x
  2. Step 2: Convert to fraction form
    272,322.50/419,967.75 = 419,967.75/x
  3. Step 3: Cross multiply
    272,322.50x = 419,967.75 × 419,967.75
  4. Step 4: Simplify right side
    272,322.50x = 176,372,911,040.06
  5. Step 5: Solve for x
    x = 176,372,911,040.06/272,322.50
  6. Step 6: Final answer
    x = 647,661.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.