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Finding the Third Proportional to 398,739.38 and 874,983.94

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Solution

The third proportional to 398,739.38 and 874,983.94 is: 1,920,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,739.38 : 874,983.94 = 874,983.94 : x
  2. Step 2: Convert to fraction form
    398,739.38/874,983.94 = 874,983.94/x
  3. Step 3: Cross multiply
    398,739.38x = 874,983.94 × 874,983.94
  4. Step 4: Simplify right side
    398,739.38x = 765,596,890,883.00
  5. Step 5: Solve for x
    x = 765,596,890,883.00/398,739.38
  6. Step 6: Final answer
    x = 1,920,043.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.