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Finding the Third Proportional to 685,343.81 and 1,485,095.06

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Solution

The third proportional to 685,343.81 and 1,485,095.06 is: 3,218,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,343.81 : 1,485,095.06 = 1,485,095.06 : x
  2. Step 2: Convert to fraction form
    685,343.81/1,485,095.06 = 1,485,095.06/x
  3. Step 3: Cross multiply
    685,343.81x = 1,485,095.06 × 1,485,095.06
  4. Step 4: Simplify right side
    685,343.81x = 2,205,507,344,661.88
  5. Step 5: Solve for x
    x = 2,205,507,344,661.88/685,343.81
  6. Step 6: Final answer
    x = 3,218,103.53

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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.