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Finding the Third Proportional to 398,012.48 and 874,215.28

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Solution

The third proportional to 398,012.48 and 874,215.28 is: 1,920,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,012.48 : 874,215.28 = 874,215.28 : x
  2. Step 2: Convert to fraction form
    398,012.48/874,215.28 = 874,215.28/x
  3. Step 3: Cross multiply
    398,012.48x = 874,215.28 × 874,215.28
  4. Step 4: Simplify right side
    398,012.48x = 764,252,357,971.02
  5. Step 5: Solve for x
    x = 764,252,357,971.02/398,012.48
  6. Step 6: Final answer
    x = 1,920,171.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.