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Finding the Third Proportional to 685,563.75 and 1,485,529.88

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Solution

The third proportional to 685,563.75 and 1,485,529.88 is: 3,218,955.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,563.75 : 1,485,529.88 = 1,485,529.88 : x
  2. Step 2: Convert to fraction form
    685,563.75/1,485,529.88 = 1,485,529.88/x
  3. Step 3: Cross multiply
    685,563.75x = 1,485,529.88 × 1,485,529.88
  4. Step 4: Simplify right side
    685,563.75x = 2,206,799,009,517.52
  5. Step 5: Solve for x
    x = 2,206,799,009,517.52/685,563.75
  6. Step 6: Final answer
    x = 3,218,955.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.