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Finding the Third Proportional to 428,359.64 and 940,782.09

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Solution

The third proportional to 428,359.64 and 940,782.09 is: 2,066,186.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,359.64 : 940,782.09 = 940,782.09 : x
  2. Step 2: Convert to fraction form
    428,359.64/940,782.09 = 940,782.09/x
  3. Step 3: Cross multiply
    428,359.64x = 940,782.09 × 940,782.09
  4. Step 4: Simplify right side
    428,359.64x = 885,070,947,920.63
  5. Step 5: Solve for x
    x = 885,070,947,920.63/428,359.64
  6. Step 6: Final answer
    x = 2,066,186.60

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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.