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Finding the Third Proportional to 428,419.13 and 940,911.19

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Solution

The third proportional to 428,419.13 and 940,911.19 is: 2,066,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,419.13 : 940,911.19 = 940,911.19 : x
  2. Step 2: Convert to fraction form
    428,419.13/940,911.19 = 940,911.19/x
  3. Step 3: Cross multiply
    428,419.13x = 940,911.19 × 940,911.19
  4. Step 4: Simplify right side
    428,419.13x = 885,313,862,762.66
  5. Step 5: Solve for x
    x = 885,313,862,762.66/428,419.13
  6. Step 6: Final answer
    x = 2,066,466.72

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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.