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Finding the Third Proportional to 685,340.44 and 1,485,088.31

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Solution

The third proportional to 685,340.44 and 1,485,088.31 is: 3,218,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,340.44 : 1,485,088.31 = 1,485,088.31 : x
  2. Step 2: Convert to fraction form
    685,340.44/1,485,088.31 = 1,485,088.31/x
  3. Step 3: Cross multiply
    685,340.44x = 1,485,088.31 × 1,485,088.31
  4. Step 4: Simplify right side
    685,340.44x = 2,205,487,295,924.10
  5. Step 5: Solve for x
    x = 2,205,487,295,924.10/685,340.44
  6. Step 6: Final answer
    x = 3,218,090.13

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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.